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Finding the Fourth Proportional to 7,419.74, 11,134.13 and 3,862.22

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Solution

The fourth proportional to 7,419.74, 11,134.13 and 3,862.22 is: 5,795.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419.74 : 11,134.13 = 3,862.22 : x
  2. Step 2: Convert to fraction form
    7,419.74/11,134.13 = 3,862.22/x
  3. Step 3: Cross multiply
    7,419.74x = 11,134.13 × 3,862.22
  4. Step 4: Simplify right side
    7,419.74x = 43,002,384.59
  5. Step 5: Solve for x
    x = 43,002,384.59/7,419.74
  6. Step 6: Final answer
    x = 5,795.68

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1.5x scale

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.