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Finding the Fourth Proportional to 6,127, 9,182.20 and 3,349.48

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Solution

The fourth proportional to 6,127, 9,182.20 and 3,349.48 is: 5,019.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,127 : 9,182.20 = 3,349.48 : x
  2. Step 2: Convert to fraction form
    6,127/9,182.20 = 3,349.48/x
  3. Step 3: Cross multiply
    6,127x = 9,182.20 × 3,349.48
  4. Step 4: Simplify right side
    6,127x = 30,755,595.26
  5. Step 5: Solve for x
    x = 30,755,595.26/6,127
  6. Step 6: Final answer
    x = 5,019.68

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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.