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Finding the Fourth Proportional to 9,462.80, 14,171.16 and 6,375.44

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Solution

The fourth proportional to 9,462.80, 14,171.16 and 6,375.44 is: 9,547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.80 : 14,171.16 = 6,375.44 : x
  2. Step 2: Convert to fraction form
    9,462.80/14,171.16 = 6,375.44/x
  3. Step 3: Cross multiply
    9,462.80x = 14,171.16 × 6,375.44
  4. Step 4: Simplify right side
    9,462.80x = 90,347,380.31
  5. Step 5: Solve for x
    x = 90,347,380.31/9,462.80
  6. Step 6: Final answer
    x = 9,547.64

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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.