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Finding the Fourth Proportional to 8,649.12, 12,959.04 and 6,812.16

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Solution

The fourth proportional to 8,649.12, 12,959.04 and 6,812.16 is: 10,206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.12 : 12,959.04 = 6,812.16 : x
  2. Step 2: Convert to fraction form
    8,649.12/12,959.04 = 6,812.16/x
  3. Step 3: Cross multiply
    8,649.12x = 12,959.04 × 6,812.16
  4. Step 4: Simplify right side
    8,649.12x = 88,279,053.93
  5. Step 5: Solve for x
    x = 88,279,053.93/8,649.12
  6. Step 6: Final answer
    x = 10,206.71

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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.