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Finding the Fourth Proportional to 24,471.76, 36,713.70 and 6,941.74

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Solution

The fourth proportional to 24,471.76, 36,713.70 and 6,941.74 is: 10,414.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471.76 : 36,713.70 = 6,941.74 : x
  2. Step 2: Convert to fraction form
    24,471.76/36,713.70 = 6,941.74/x
  3. Step 3: Cross multiply
    24,471.76x = 36,713.70 × 6,941.74
  4. Step 4: Simplify right side
    24,471.76x = 254,856,959.84
  5. Step 5: Solve for x
    x = 254,856,959.84/24,471.76
  6. Step 6: Final answer
    x = 10,414.33

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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.