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Finding the Fourth Proportional to 11,472.66, 15,831.87 and 6,757.26

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Solution

The fourth proportional to 11,472.66, 15,831.87 and 6,757.26 is: 9,324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.66 : 15,831.87 = 6,757.26 : x
  2. Step 2: Convert to fraction form
    11,472.66/15,831.87 = 6,757.26/x
  3. Step 3: Cross multiply
    11,472.66x = 15,831.87 × 6,757.26
  4. Step 4: Simplify right side
    11,472.66x = 106,980,061.88
  5. Step 5: Solve for x
    x = 106,980,061.88/11,472.66
  6. Step 6: Final answer
    x = 9,324.78

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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.