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Finding the Fourth Proportional to 6,295.44, 9,435.84 and 5,566.44

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Solution

The fourth proportional to 6,295.44, 9,435.84 and 5,566.44 is: 8,343.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.44 : 9,435.84 = 5,566.44 : x
  2. Step 2: Convert to fraction form
    6,295.44/9,435.84 = 5,566.44/x
  3. Step 3: Cross multiply
    6,295.44x = 9,435.84 × 5,566.44
  4. Step 4: Simplify right side
    6,295.44x = 52,524,037.21
  5. Step 5: Solve for x
    x = 52,524,037.21/6,295.44
  6. Step 6: Final answer
    x = 8,343.19

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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.