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Finding the Fourth Proportional to 6,392.72, 9,585.84 and 2,927

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Solution

The fourth proportional to 6,392.72, 9,585.84 and 2,927 is: 4,389.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.72 : 9,585.84 = 2,927 : x
  2. Step 2: Convert to fraction form
    6,392.72/9,585.84 = 2,927/x
  3. Step 3: Cross multiply
    6,392.72x = 9,585.84 × 2,927
  4. Step 4: Simplify right side
    6,392.72x = 28,057,753.68
  5. Step 5: Solve for x
    x = 28,057,753.68/6,392.72
  6. Step 6: Final answer
    x = 4,389.02

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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.