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Finding the Fourth Proportional to 6,200.70, 9,290.16 and 5,167.32

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Solution

The fourth proportional to 6,200.70, 9,290.16 and 5,167.32 is: 7,741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.70 : 9,290.16 = 5,167.32 : x
  2. Step 2: Convert to fraction form
    6,200.70/9,290.16 = 5,167.32/x
  3. Step 3: Cross multiply
    6,200.70x = 9,290.16 × 5,167.32
  4. Step 4: Simplify right side
    6,200.70x = 48,005,229.57
  5. Step 5: Solve for x
    x = 48,005,229.57/6,200.70
  6. Step 6: Final answer
    x = 7,741.90

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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.