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Finding the Fourth Proportional to 13,097.30, 18,073.94 and 7,354.60

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Solution

The fourth proportional to 13,097.30, 18,073.94 and 7,354.60 is: 10,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.30 : 18,073.94 = 7,354.60 : x
  2. Step 2: Convert to fraction form
    13,097.30/18,073.94 = 7,354.60/x
  3. Step 3: Cross multiply
    13,097.30x = 18,073.94 × 7,354.60
  4. Step 4: Simplify right side
    13,097.30x = 132,926,517.17
  5. Step 5: Solve for x
    x = 132,926,517.17/13,097.30
  6. Step 6: Final answer
    x = 10,149.16

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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.