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Finding the Fourth Proportional to 6,585.71, 9,881.90 and 2,887.97

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Solution

The fourth proportional to 6,585.71, 9,881.90 and 2,887.97 is: 4,333.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.71 : 9,881.90 = 2,887.97 : x
  2. Step 2: Convert to fraction form
    6,585.71/9,881.90 = 2,887.97/x
  3. Step 3: Cross multiply
    6,585.71x = 9,881.90 × 2,887.97
  4. Step 4: Simplify right side
    6,585.71x = 28,538,630.74
  5. Step 5: Solve for x
    x = 28,538,630.74/6,585.71
  6. Step 6: Final answer
    x = 4,333.42

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Why These Related Problems?

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