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Finding the Fourth Proportional to 8,053.26, 12,074.04 and 5,414.21

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Solution

The fourth proportional to 8,053.26, 12,074.04 and 5,414.21 is: 8,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.26 : 12,074.04 = 5,414.21 : x
  2. Step 2: Convert to fraction form
    8,053.26/12,074.04 = 5,414.21/x
  3. Step 3: Cross multiply
    8,053.26x = 12,074.04 × 5,414.21
  4. Step 4: Simplify right side
    8,053.26x = 65,371,357.79
  5. Step 5: Solve for x
    x = 65,371,357.79/8,053.26
  6. Step 6: Final answer
    x = 8,117.38

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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.