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Finding the Fourth Proportional to 4,711.92, 7,062.12 and 4,135.92

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Solution

The fourth proportional to 4,711.92, 7,062.12 and 4,135.92 is: 6,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.92 : 7,062.12 = 4,135.92 : x
  2. Step 2: Convert to fraction form
    4,711.92/7,062.12 = 4,135.92/x
  3. Step 3: Cross multiply
    4,711.92x = 7,062.12 × 4,135.92
  4. Step 4: Simplify right side
    4,711.92x = 29,208,363.35
  5. Step 5: Solve for x
    x = 29,208,363.35/4,711.92
  6. Step 6: Final answer
    x = 6,198.82

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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.