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Finding the Fourth Proportional to 6,872.80, 10,309.20 and 5,792.80

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Solution

The fourth proportional to 6,872.80, 10,309.20 and 5,792.80 is: 8,689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.80 : 10,309.20 = 5,792.80 : x
  2. Step 2: Convert to fraction form
    6,872.80/10,309.20 = 5,792.80/x
  3. Step 3: Cross multiply
    6,872.80x = 10,309.20 × 5,792.80
  4. Step 4: Simplify right side
    6,872.80x = 59,719,133.76
  5. Step 5: Solve for x
    x = 59,719,133.76/6,872.80
  6. Step 6: Final answer
    x = 8,689.20

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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.