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Finding the Fourth Proportional to 6,625.64, 9,932.70 and 3,158.12

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Solution

The fourth proportional to 6,625.64, 9,932.70 and 3,158.12 is: 4,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625.64 : 9,932.70 = 3,158.12 : x
  2. Step 2: Convert to fraction form
    6,625.64/9,932.70 = 3,158.12/x
  3. Step 3: Cross multiply
    6,625.64x = 9,932.70 × 3,158.12
  4. Step 4: Simplify right side
    6,625.64x = 31,368,658.52
  5. Step 5: Solve for x
    x = 31,368,658.52/6,625.64
  6. Step 6: Final answer
    x = 4,734.43

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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.