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Finding the Fourth Proportional to 5,642.48, 8,455.52 and 4,002.24

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Solution

The fourth proportional to 5,642.48, 8,455.52 and 4,002.24 is: 5,997.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.48 : 8,455.52 = 4,002.24 : x
  2. Step 2: Convert to fraction form
    5,642.48/8,455.52 = 4,002.24/x
  3. Step 3: Cross multiply
    5,642.48x = 8,455.52 × 4,002.24
  4. Step 4: Simplify right side
    5,642.48x = 33,841,020.36
  5. Step 5: Solve for x
    x = 33,841,020.36/5,642.48
  6. Step 6: Final answer
    x = 5,997.54

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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.