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Finding the Fourth Proportional to 5,961.56, 8,197.78 and 5,174.24

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Solution

The fourth proportional to 5,961.56, 8,197.78 and 5,174.24 is: 7,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.56 : 8,197.78 = 5,174.24 : x
  2. Step 2: Convert to fraction form
    5,961.56/8,197.78 = 5,174.24/x
  3. Step 3: Cross multiply
    5,961.56x = 8,197.78 × 5,174.24
  4. Step 4: Simplify right side
    5,961.56x = 42,417,281.19
  5. Step 5: Solve for x
    x = 42,417,281.19/5,961.56
  6. Step 6: Final answer
    x = 7,115.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.