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Finding the Fourth Proportional to 24,377.28, 36,566.40 and 7,737.60

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Solution

The fourth proportional to 24,377.28, 36,566.40 and 7,737.60 is: 11,606.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,377.28 : 36,566.40 = 7,737.60 : x
  2. Step 2: Convert to fraction form
    24,377.28/36,566.40 = 7,737.60/x
  3. Step 3: Cross multiply
    24,377.28x = 36,566.40 × 7,737.60
  4. Step 4: Simplify right side
    24,377.28x = 282,936,176.64
  5. Step 5: Solve for x
    x = 282,936,176.64/24,377.28
  6. Step 6: Final answer
    x = 11,606.55

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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.