Home / 7,742.74-11,614.92-2,549.02

Finding the Fourth Proportional to 7,742.74, 11,614.92 and 2,549.02

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Solution

The fourth proportional to 7,742.74, 11,614.92 and 2,549.02 is: 3,823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.74 : 11,614.92 = 2,549.02 : x
  2. Step 2: Convert to fraction form
    7,742.74/11,614.92 = 2,549.02/x
  3. Step 3: Cross multiply
    7,742.74x = 11,614.92 × 2,549.02
  4. Step 4: Simplify right side
    7,742.74x = 29,606,663.38
  5. Step 5: Solve for x
    x = 29,606,663.38/7,742.74
  6. Step 6: Final answer
    x = 3,823.80

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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.