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Finding the Fourth Proportional to 6,515.49, 9,773.09 and 1,585.16

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Solution

The fourth proportional to 6,515.49, 9,773.09 and 1,585.16 is: 2,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.49 : 9,773.09 = 1,585.16 : x
  2. Step 2: Convert to fraction form
    6,515.49/9,773.09 = 1,585.16/x
  3. Step 3: Cross multiply
    6,515.49x = 9,773.09 × 1,585.16
  4. Step 4: Simplify right side
    6,515.49x = 15,491,854.55
  5. Step 5: Solve for x
    x = 15,491,854.55/6,515.49
  6. Step 6: Final answer
    x = 2,377.70

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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.