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Finding the Fourth Proportional to 24,671.35, 37,006.98 and 7,141.15

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Solution

The fourth proportional to 24,671.35, 37,006.98 and 7,141.15 is: 10,711.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,671.35 : 37,006.98 = 7,141.15 : x
  2. Step 2: Convert to fraction form
    24,671.35/37,006.98 = 7,141.15/x
  3. Step 3: Cross multiply
    24,671.35x = 37,006.98 × 7,141.15
  4. Step 4: Simplify right side
    24,671.35x = 264,272,395.23
  5. Step 5: Solve for x
    x = 264,272,395.23/24,671.35
  6. Step 6: Final answer
    x = 10,711.71

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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.