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Finding the Fourth Proportional to 24,470.52, 36,711.25 and 7,831.55

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Solution

The fourth proportional to 24,470.52, 36,711.25 and 7,831.55 is: 11,749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,470.52 : 36,711.25 = 7,831.55 : x
  2. Step 2: Convert to fraction form
    24,470.52/36,711.25 = 7,831.55/x
  3. Step 3: Cross multiply
    24,470.52x = 36,711.25 × 7,831.55
  4. Step 4: Simplify right side
    24,470.52x = 287,505,989.94
  5. Step 5: Solve for x
    x = 287,505,989.94/24,470.52
  6. Step 6: Final answer
    x = 11,749.08

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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.