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Finding the Fourth Proportional to 8,577.56, 12,866.40 and 8,205.80

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Solution

The fourth proportional to 8,577.56, 12,866.40 and 8,205.80 is: 12,308.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.56 : 12,866.40 = 8,205.80 : x
  2. Step 2: Convert to fraction form
    8,577.56/12,866.40 = 8,205.80/x
  3. Step 3: Cross multiply
    8,577.56x = 12,866.40 × 8,205.80
  4. Step 4: Simplify right side
    8,577.56x = 105,579,105.12
  5. Step 5: Solve for x
    x = 105,579,105.12/8,577.56
  6. Step 6: Final answer
    x = 12,308.76

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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.