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Finding the Fourth Proportional to 10,498.97, 15,671.66 and 9,253.45

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Solution

The fourth proportional to 10,498.97, 15,671.66 and 9,253.45 is: 13,812.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.97 : 15,671.66 = 9,253.45 : x
  2. Step 2: Convert to fraction form
    10,498.97/15,671.66 = 9,253.45/x
  3. Step 3: Cross multiply
    10,498.97x = 15,671.66 × 9,253.45
  4. Step 4: Simplify right side
    10,498.97x = 145,016,807.40
  5. Step 5: Solve for x
    x = 145,016,807.40/10,498.97
  6. Step 6: Final answer
    x = 13,812.48

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.