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Finding the Fourth Proportional to 6,585.56, 9,878.38 and 2,687.24

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Solution

The fourth proportional to 6,585.56, 9,878.38 and 2,687.24 is: 4,030.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.56 : 9,878.38 = 2,687.24 : x
  2. Step 2: Convert to fraction form
    6,585.56/9,878.38 = 2,687.24/x
  3. Step 3: Cross multiply
    6,585.56x = 9,878.38 × 2,687.24
  4. Step 4: Simplify right side
    6,585.56x = 26,545,577.87
  5. Step 5: Solve for x
    x = 26,545,577.87/6,585.56
  6. Step 6: Final answer
    x = 4,030.88

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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.