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Finding the Fourth Proportional to 6,347.52, 9,515.80 and 2,454.66

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Solution

The fourth proportional to 6,347.52, 9,515.80 and 2,454.66 is: 3,679.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.52 : 9,515.80 = 2,454.66 : x
  2. Step 2: Convert to fraction form
    6,347.52/9,515.80 = 2,454.66/x
  3. Step 3: Cross multiply
    6,347.52x = 9,515.80 × 2,454.66
  4. Step 4: Simplify right side
    6,347.52x = 23,358,053.63
  5. Step 5: Solve for x
    x = 23,358,053.63/6,347.52
  6. Step 6: Final answer
    x = 3,679.87

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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.