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Finding the Fourth Proportional to 7,670.61, 11,449.92 and 6,581.97

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Solution

The fourth proportional to 7,670.61, 11,449.92 and 6,581.97 is: 9,824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.61 : 11,449.92 = 6,581.97 : x
  2. Step 2: Convert to fraction form
    7,670.61/11,449.92 = 6,581.97/x
  3. Step 3: Cross multiply
    7,670.61x = 11,449.92 × 6,581.97
  4. Step 4: Simplify right side
    7,670.61x = 75,363,005.26
  5. Step 5: Solve for x
    x = 75,363,005.26/7,670.61
  6. Step 6: Final answer
    x = 9,824.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.