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Finding the Fourth Proportional to 6,400.08, 8,830.98 and 3,747.42

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Solution

The fourth proportional to 6,400.08, 8,830.98 and 3,747.42 is: 5,170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.08 : 8,830.98 = 3,747.42 : x
  2. Step 2: Convert to fraction form
    6,400.08/8,830.98 = 3,747.42/x
  3. Step 3: Cross multiply
    6,400.08x = 8,830.98 × 3,747.42
  4. Step 4: Simplify right side
    6,400.08x = 33,093,391.07
  5. Step 5: Solve for x
    x = 33,093,391.07/6,400.08
  6. Step 6: Final answer
    x = 5,170.78

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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.