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Finding the Fourth Proportional to 27,374.68, 41,061.66 and 6,598

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Solution

The fourth proportional to 27,374.68, 41,061.66 and 6,598 is: 9,896.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,374.68 : 41,061.66 = 6,598 : x
  2. Step 2: Convert to fraction form
    27,374.68/41,061.66 = 6,598/x
  3. Step 3: Cross multiply
    27,374.68x = 41,061.66 × 6,598
  4. Step 4: Simplify right side
    27,374.68x = 270,924,832.68
  5. Step 5: Solve for x
    x = 270,924,832.68/27,374.68
  6. Step 6: Final answer
    x = 9,896.91

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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.