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Finding the Fourth Proportional to 6,542.98, 9,027.98 and 4,153.70

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Solution

The fourth proportional to 6,542.98, 9,027.98 and 4,153.70 is: 5,731.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.98 : 9,027.98 = 4,153.70 : x
  2. Step 2: Convert to fraction form
    6,542.98/9,027.98 = 4,153.70/x
  3. Step 3: Cross multiply
    6,542.98x = 9,027.98 × 4,153.70
  4. Step 4: Simplify right side
    6,542.98x = 37,499,520.53
  5. Step 5: Solve for x
    x = 37,499,520.53/6,542.98
  6. Step 6: Final answer
    x = 5,731.26

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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.