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Finding the Fourth Proportional to 12,563.44, 17,337.54 and 6,974.44

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Solution

The fourth proportional to 12,563.44, 17,337.54 and 6,974.44 is: 9,624.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.44 : 17,337.54 = 6,974.44 : x
  2. Step 2: Convert to fraction form
    12,563.44/17,337.54 = 6,974.44/x
  3. Step 3: Cross multiply
    12,563.44x = 17,337.54 × 6,974.44
  4. Step 4: Simplify right side
    12,563.44x = 120,919,615.29
  5. Step 5: Solve for x
    x = 120,919,615.29/12,563.44
  6. Step 6: Final answer
    x = 9,624.72

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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.