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Finding the Fourth Proportional to 24,470.78, 36,706.16 and 6,940.76

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Solution

The fourth proportional to 24,470.78, 36,706.16 and 6,940.76 is: 10,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,470.78 : 36,706.16 = 6,940.76 : x
  2. Step 2: Convert to fraction form
    24,470.78/36,706.16 = 6,940.76/x
  3. Step 3: Cross multiply
    24,470.78x = 36,706.16 × 6,940.76
  4. Step 4: Simplify right side
    24,470.78x = 254,768,480.90
  5. Step 5: Solve for x
    x = 254,768,480.90/24,470.78
  6. Step 6: Final answer
    x = 10,411.13

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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.