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Finding the Fourth Proportional to 10,046.16, 13,848.33 and 7,053.60

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Solution

The fourth proportional to 10,046.16, 13,848.33 and 7,053.60 is: 9,723.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.16 : 13,848.33 = 7,053.60 : x
  2. Step 2: Convert to fraction form
    10,046.16/13,848.33 = 7,053.60/x
  3. Step 3: Cross multiply
    10,046.16x = 13,848.33 × 7,053.60
  4. Step 4: Simplify right side
    10,046.16x = 97,680,580.49
  5. Step 5: Solve for x
    x = 97,680,580.49/10,046.16
  6. Step 6: Final answer
    x = 9,723.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.