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Finding the Fourth Proportional to 6,575.14, 9,862.61 and 1,644.77

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Solution

The fourth proportional to 6,575.14, 9,862.61 and 1,644.77 is: 2,467.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.14 : 9,862.61 = 1,644.77 : x
  2. Step 2: Convert to fraction form
    6,575.14/9,862.61 = 1,644.77/x
  3. Step 3: Cross multiply
    6,575.14x = 9,862.61 × 1,644.77
  4. Step 4: Simplify right side
    6,575.14x = 16,221,750.73
  5. Step 5: Solve for x
    x = 16,221,750.73/6,575.14
  6. Step 6: Final answer
    x = 2,467.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.