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Finding the Fourth Proportional to 5,944.46, 8,962.31 and 5,542.91

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Solution

The fourth proportional to 5,944.46, 8,962.31 and 5,542.91 is: 8,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.46 : 8,962.31 = 5,542.91 : x
  2. Step 2: Convert to fraction form
    5,944.46/8,962.31 = 5,542.91/x
  3. Step 3: Cross multiply
    5,944.46x = 8,962.31 × 5,542.91
  4. Step 4: Simplify right side
    5,944.46x = 49,677,277.72
  5. Step 5: Solve for x
    x = 49,677,277.72/5,944.46
  6. Step 6: Final answer
    x = 8,356.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.