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Finding the Fourth Proportional to 6,342.15, 9,507.47 and 2,449.47

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Solution

The fourth proportional to 6,342.15, 9,507.47 and 2,449.47 is: 3,671.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.15 : 9,507.47 = 2,449.47 : x
  2. Step 2: Convert to fraction form
    6,342.15/9,507.47 = 2,449.47/x
  3. Step 3: Cross multiply
    6,342.15x = 9,507.47 × 2,449.47
  4. Step 4: Simplify right side
    6,342.15x = 23,288,250.29
  5. Step 5: Solve for x
    x = 23,288,250.29/6,342.15
  6. Step 6: Final answer
    x = 3,671.98

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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.