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Finding the Fourth Proportional to 8,113.85, 12,112.08 and 7,129.70

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Solution

The fourth proportional to 8,113.85, 12,112.08 and 7,129.70 is: 10,642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.85 : 12,112.08 = 7,129.70 : x
  2. Step 2: Convert to fraction form
    8,113.85/12,112.08 = 7,129.70/x
  3. Step 3: Cross multiply
    8,113.85x = 12,112.08 × 7,129.70
  4. Step 4: Simplify right side
    8,113.85x = 86,355,496.78
  5. Step 5: Solve for x
    x = 86,355,496.78/8,113.85
  6. Step 6: Final answer
    x = 10,642.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.