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Finding the Fourth Proportional to 6,586.32, 9,881.51 and 2,637.57

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Solution

The fourth proportional to 6,586.32, 9,881.51 and 2,637.57 is: 3,957.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.32 : 9,881.51 = 2,637.57 : x
  2. Step 2: Convert to fraction form
    6,586.32/9,881.51 = 2,637.57/x
  3. Step 3: Cross multiply
    6,586.32x = 9,881.51 × 2,637.57
  4. Step 4: Simplify right side
    6,586.32x = 26,063,174.33
  5. Step 5: Solve for x
    x = 26,063,174.33/6,586.32
  6. Step 6: Final answer
    x = 3,957.17

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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.