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Finding the Fourth Proportional to 6,438.97, 9,652.97 and 6,132.79

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Solution

The fourth proportional to 6,438.97, 9,652.97 and 6,132.79 is: 9,193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.97 : 9,652.97 = 6,132.79 : x
  2. Step 2: Convert to fraction form
    6,438.97/9,652.97 = 6,132.79/x
  3. Step 3: Cross multiply
    6,438.97x = 9,652.97 × 6,132.79
  4. Step 4: Simplify right side
    6,438.97x = 59,199,607.22
  5. Step 5: Solve for x
    x = 59,199,607.22/6,438.97
  6. Step 6: Final answer
    x = 9,193.96

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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.