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Finding the Fourth Proportional to 6,325.52, 9,488.22 and 2,165.48

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Solution

The fourth proportional to 6,325.52, 9,488.22 and 2,165.48 is: 3,248.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.52 : 9,488.22 = 2,165.48 : x
  2. Step 2: Convert to fraction form
    6,325.52/9,488.22 = 2,165.48/x
  3. Step 3: Cross multiply
    6,325.52x = 9,488.22 × 2,165.48
  4. Step 4: Simplify right side
    6,325.52x = 20,546,550.65
  5. Step 5: Solve for x
    x = 20,546,550.65/6,325.52
  6. Step 6: Final answer
    x = 3,248.20

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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.