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Finding the Fourth Proportional to 8,562.30, 12,809.43 and 6,882.90

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Solution

The fourth proportional to 8,562.30, 12,809.43 and 6,882.90 is: 10,297.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.30 : 12,809.43 = 6,882.90 : x
  2. Step 2: Convert to fraction form
    8,562.30/12,809.43 = 6,882.90/x
  3. Step 3: Cross multiply
    8,562.30x = 12,809.43 × 6,882.90
  4. Step 4: Simplify right side
    8,562.30x = 88,166,025.75
  5. Step 5: Solve for x
    x = 88,166,025.75/8,562.30
  6. Step 6: Final answer
    x = 10,297.00

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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.