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Finding the Fourth Proportional to 5,663.98, 8,502.12 and 4,178.54

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Solution

The fourth proportional to 5,663.98, 8,502.12 and 4,178.54 is: 6,272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.98 : 8,502.12 = 4,178.54 : x
  2. Step 2: Convert to fraction form
    5,663.98/8,502.12 = 4,178.54/x
  3. Step 3: Cross multiply
    5,663.98x = 8,502.12 × 4,178.54
  4. Step 4: Simplify right side
    5,663.98x = 35,526,469.76
  5. Step 5: Solve for x
    x = 35,526,469.76/5,663.98
  6. Step 6: Final answer
    x = 6,272.35

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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.