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Finding the Fourth Proportional to 5,966.48, 8,238.12 and 5,524.16

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Solution

The fourth proportional to 5,966.48, 8,238.12 and 5,524.16 is: 7,627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.48 : 8,238.12 = 5,524.16 : x
  2. Step 2: Convert to fraction form
    5,966.48/8,238.12 = 5,524.16/x
  3. Step 3: Cross multiply
    5,966.48x = 8,238.12 × 5,524.16
  4. Step 4: Simplify right side
    5,966.48x = 45,508,692.98
  5. Step 5: Solve for x
    x = 45,508,692.98/5,966.48
  6. Step 6: Final answer
    x = 7,627.39

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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.