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Finding the Fourth Proportional to 8,006.70, 12,011.52 and 2,741.46

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Solution

The fourth proportional to 8,006.70, 12,011.52 and 2,741.46 is: 4,112.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.70 : 12,011.52 = 2,741.46 : x
  2. Step 2: Convert to fraction form
    8,006.70/12,011.52 = 2,741.46/x
  3. Step 3: Cross multiply
    8,006.70x = 12,011.52 × 2,741.46
  4. Step 4: Simplify right side
    8,006.70x = 32,929,101.62
  5. Step 5: Solve for x
    x = 32,929,101.62/8,006.70
  6. Step 6: Final answer
    x = 4,112.69

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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.