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Finding the Fourth Proportional to 5,006.54, 6,909.22 and 3,238.15

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Solution

The fourth proportional to 5,006.54, 6,909.22 and 3,238.15 is: 4,468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.54 : 6,909.22 = 3,238.15 : x
  2. Step 2: Convert to fraction form
    5,006.54/6,909.22 = 3,238.15/x
  3. Step 3: Cross multiply
    5,006.54x = 6,909.22 × 3,238.15
  4. Step 4: Simplify right side
    5,006.54x = 22,373,074.55
  5. Step 5: Solve for x
    x = 22,373,074.55/5,006.54
  6. Step 6: Final answer
    x = 4,468.77

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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.