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Finding the Fourth Proportional to 6,578.88, 9,862.56 and 2,472

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Solution

The fourth proportional to 6,578.88, 9,862.56 and 2,472 is: 3,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.88 : 9,862.56 = 2,472 : x
  2. Step 2: Convert to fraction form
    6,578.88/9,862.56 = 2,472/x
  3. Step 3: Cross multiply
    6,578.88x = 9,862.56 × 2,472
  4. Step 4: Simplify right side
    6,578.88x = 24,380,248.32
  5. Step 5: Solve for x
    x = 24,380,248.32/6,578.88
  6. Step 6: Final answer
    x = 3,705.84

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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.