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Finding the Fourth Proportional to 6,129.54, 9,188.24 and 2,429.46

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Solution

The fourth proportional to 6,129.54, 9,188.24 and 2,429.46 is: 3,641.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.54 : 9,188.24 = 2,429.46 : x
  2. Step 2: Convert to fraction form
    6,129.54/9,188.24 = 2,429.46/x
  3. Step 3: Cross multiply
    6,129.54x = 9,188.24 × 2,429.46
  4. Step 4: Simplify right side
    6,129.54x = 22,322,449.40
  5. Step 5: Solve for x
    x = 22,322,449.40/6,129.54
  6. Step 6: Final answer
    x = 3,641.78

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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.