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Finding the Fourth Proportional to 9,598.39, 14,392.68 and 7,204.59

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Solution

The fourth proportional to 9,598.39, 14,392.68 and 7,204.59 is: 10,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.39 : 14,392.68 = 7,204.59 : x
  2. Step 2: Convert to fraction form
    9,598.39/14,392.68 = 7,204.59/x
  3. Step 3: Cross multiply
    9,598.39x = 14,392.68 × 7,204.59
  4. Step 4: Simplify right side
    9,598.39x = 103,693,358.40
  5. Step 5: Solve for x
    x = 103,693,358.40/9,598.39
  6. Step 6: Final answer
    x = 10,803.20

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.