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Finding the Fourth Proportional to 9,931.87, 14,957.23 and 9,046.13

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Solution

The fourth proportional to 9,931.87, 14,957.23 and 9,046.13 is: 13,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.87 : 14,957.23 = 9,046.13 : x
  2. Step 2: Convert to fraction form
    9,931.87/14,957.23 = 9,046.13/x
  3. Step 3: Cross multiply
    9,931.87x = 14,957.23 × 9,046.13
  4. Step 4: Simplify right side
    9,931.87x = 135,305,001.79
  5. Step 5: Solve for x
    x = 135,305,001.79/9,931.87
  6. Step 6: Final answer
    x = 13,623.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.