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Finding the Fourth Proportional to 8,442.44, 11,652.17 and 5,566.11

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Solution

The fourth proportional to 8,442.44, 11,652.17 and 5,566.11 is: 7,682.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.44 : 11,652.17 = 5,566.11 : x
  2. Step 2: Convert to fraction form
    8,442.44/11,652.17 = 5,566.11/x
  3. Step 3: Cross multiply
    8,442.44x = 11,652.17 × 5,566.11
  4. Step 4: Simplify right side
    8,442.44x = 64,857,325.70
  5. Step 5: Solve for x
    x = 64,857,325.70/8,442.44
  6. Step 6: Final answer
    x = 7,682.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.