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Finding the Fourth Proportional to 11,397.92, 17,114.09 and 9,295.97

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Solution

The fourth proportional to 11,397.92, 17,114.09 and 9,295.97 is: 13,957.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.92 : 17,114.09 = 9,295.97 : x
  2. Step 2: Convert to fraction form
    11,397.92/17,114.09 = 9,295.97/x
  3. Step 3: Cross multiply
    11,397.92x = 17,114.09 × 9,295.97
  4. Step 4: Simplify right side
    11,397.92x = 159,091,935.17
  5. Step 5: Solve for x
    x = 159,091,935.17/11,397.92
  6. Step 6: Final answer
    x = 13,957.99

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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.