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Finding the Fourth Proportional to 24,313.81, 36,470.71 and 7,685.52

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Solution

The fourth proportional to 24,313.81, 36,470.71 and 7,685.52 is: 11,528.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,313.81 : 36,470.71 = 7,685.52 : x
  2. Step 2: Convert to fraction form
    24,313.81/36,470.71 = 7,685.52/x
  3. Step 3: Cross multiply
    24,313.81x = 36,470.71 × 7,685.52
  4. Step 4: Simplify right side
    24,313.81x = 280,296,380.73
  5. Step 5: Solve for x
    x = 280,296,380.73/24,313.81
  6. Step 6: Final answer
    x = 11,528.28

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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.