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Finding the Fourth Proportional to 8,538.56, 12,807.90 and 8,166.80

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Solution

The fourth proportional to 8,538.56, 12,807.90 and 8,166.80 is: 12,250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.56 : 12,807.90 = 8,166.80 : x
  2. Step 2: Convert to fraction form
    8,538.56/12,807.90 = 8,166.80/x
  3. Step 3: Cross multiply
    8,538.56x = 12,807.90 × 8,166.80
  4. Step 4: Simplify right side
    8,538.56x = 104,599,557.72
  5. Step 5: Solve for x
    x = 104,599,557.72/8,538.56
  6. Step 6: Final answer
    x = 12,250.26

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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.