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Finding the Fourth Proportional to 8,569.20, 12,856.20 and 4,186.80

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Solution

The fourth proportional to 8,569.20, 12,856.20 and 4,186.80 is: 6,281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.20 : 12,856.20 = 4,186.80 : x
  2. Step 2: Convert to fraction form
    8,569.20/12,856.20 = 4,186.80/x
  3. Step 3: Cross multiply
    8,569.20x = 12,856.20 × 4,186.80
  4. Step 4: Simplify right side
    8,569.20x = 53,826,338.16
  5. Step 5: Solve for x
    x = 53,826,338.16/8,569.20
  6. Step 6: Final answer
    x = 6,281.37

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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.