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Finding the Fourth Proportional to 27,001.76, 40,502.96 and 9,472.08

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Solution

The fourth proportional to 27,001.76, 40,502.96 and 9,472.08 is: 14,208.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,001.76 : 40,502.96 = 9,472.08 : x
  2. Step 2: Convert to fraction form
    27,001.76/40,502.96 = 9,472.08/x
  3. Step 3: Cross multiply
    27,001.76x = 40,502.96 × 9,472.08
  4. Step 4: Simplify right side
    27,001.76x = 383,647,277.36
  5. Step 5: Solve for x
    x = 383,647,277.36/27,001.76
  6. Step 6: Final answer
    x = 14,208.23

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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.