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Finding the Fourth Proportional to 6,358.24, 9,475.16 and 6,149.26

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Solution

The fourth proportional to 6,358.24, 9,475.16 and 6,149.26 is: 9,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.24 : 9,475.16 = 6,149.26 : x
  2. Step 2: Convert to fraction form
    6,358.24/9,475.16 = 6,149.26/x
  3. Step 3: Cross multiply
    6,358.24x = 9,475.16 × 6,149.26
  4. Step 4: Simplify right side
    6,358.24x = 58,265,222.38
  5. Step 5: Solve for x
    x = 58,265,222.38/6,358.24
  6. Step 6: Final answer
    x = 9,163.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.