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Finding the Fourth Proportional to 4,011.52, 6,017.12 and 1,414.48

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Solution

The fourth proportional to 4,011.52, 6,017.12 and 1,414.48 is: 2,121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,011.52 : 6,017.12 = 1,414.48 : x
  2. Step 2: Convert to fraction form
    4,011.52/6,017.12 = 1,414.48/x
  3. Step 3: Cross multiply
    4,011.52x = 6,017.12 × 1,414.48
  4. Step 4: Simplify right side
    4,011.52x = 8,511,095.90
  5. Step 5: Solve for x
    x = 8,511,095.90/4,011.52
  6. Step 6: Final answer
    x = 2,121.66

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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.