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Finding the Fourth Proportional to 24,718, 37,077.20 and 6,250

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Solution

The fourth proportional to 24,718, 37,077.20 and 6,250 is: 9,375.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,718 : 37,077.20 = 6,250 : x
  2. Step 2: Convert to fraction form
    24,718/37,077.20 = 6,250/x
  3. Step 3: Cross multiply
    24,718x = 37,077.20 × 6,250
  4. Step 4: Simplify right side
    24,718x = 231,732,500.00
  5. Step 5: Solve for x
    x = 231,732,500.00/24,718
  6. Step 6: Final answer
    x = 9,375.05

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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.