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Finding the Fourth Proportional to 8,539.56, 12,809.40 and 8,167.80

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Solution

The fourth proportional to 8,539.56, 12,809.40 and 8,167.80 is: 12,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.56 : 12,809.40 = 8,167.80 : x
  2. Step 2: Convert to fraction form
    8,539.56/12,809.40 = 8,167.80/x
  3. Step 3: Cross multiply
    8,539.56x = 12,809.40 × 8,167.80
  4. Step 4: Simplify right side
    8,539.56x = 104,624,617.32
  5. Step 5: Solve for x
    x = 104,624,617.32/8,539.56
  6. Step 6: Final answer
    x = 12,251.76

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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.