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Finding the Fourth Proportional to 7,952.44, 10,974.39 and 4,416.31

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Solution

The fourth proportional to 7,952.44, 10,974.39 and 4,416.31 is: 6,094.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.44 : 10,974.39 = 4,416.31 : x
  2. Step 2: Convert to fraction form
    7,952.44/10,974.39 = 4,416.31/x
  3. Step 3: Cross multiply
    7,952.44x = 10,974.39 × 4,416.31
  4. Step 4: Simplify right side
    7,952.44x = 48,466,308.30
  5. Step 5: Solve for x
    x = 48,466,308.30/7,952.44
  6. Step 6: Final answer
    x = 6,094.52

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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.