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Finding the Fourth Proportional to 24,702.14, 37,053.20 and 6,234.14

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Solution

The fourth proportional to 24,702.14, 37,053.20 and 6,234.14 is: 9,351.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,702.14 : 37,053.20 = 6,234.14 : x
  2. Step 2: Convert to fraction form
    24,702.14/37,053.20 = 6,234.14/x
  3. Step 3: Cross multiply
    24,702.14x = 37,053.20 × 6,234.14
  4. Step 4: Simplify right side
    24,702.14x = 230,994,836.25
  5. Step 5: Solve for x
    x = 230,994,836.25/24,702.14
  6. Step 6: Final answer
    x = 9,351.21

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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.