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Finding the Fourth Proportional to 6,031.17, 9,046.71 and 1,648.53

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Solution

The fourth proportional to 6,031.17, 9,046.71 and 1,648.53 is: 2,472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.17 : 9,046.71 = 1,648.53 : x
  2. Step 2: Convert to fraction form
    6,031.17/9,046.71 = 1,648.53/x
  3. Step 3: Cross multiply
    6,031.17x = 9,046.71 × 1,648.53
  4. Step 4: Simplify right side
    6,031.17x = 14,913,772.84
  5. Step 5: Solve for x
    x = 14,913,772.84/6,031.17
  6. Step 6: Final answer
    x = 2,472.78

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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.