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Finding the Fourth Proportional to 8,566.32, 12,820.26 and 7,181.22

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Solution

The fourth proportional to 8,566.32, 12,820.26 and 7,181.22 is: 10,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.32 : 12,820.26 = 7,181.22 : x
  2. Step 2: Convert to fraction form
    8,566.32/12,820.26 = 7,181.22/x
  3. Step 3: Cross multiply
    8,566.32x = 12,820.26 × 7,181.22
  4. Step 4: Simplify right side
    8,566.32x = 92,065,107.52
  5. Step 5: Solve for x
    x = 92,065,107.52/8,566.32
  6. Step 6: Final answer
    x = 10,747.33

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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.