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Finding the Fourth Proportional to 8,424.40, 12,644.70 and 7,193.20

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Solution

The fourth proportional to 8,424.40, 12,644.70 and 7,193.20 is: 10,796.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.40 : 12,644.70 = 7,193.20 : x
  2. Step 2: Convert to fraction form
    8,424.40/12,644.70 = 7,193.20/x
  3. Step 3: Cross multiply
    8,424.40x = 12,644.70 × 7,193.20
  4. Step 4: Simplify right side
    8,424.40x = 90,955,856.04
  5. Step 5: Solve for x
    x = 90,955,856.04/8,424.40
  6. Step 6: Final answer
    x = 10,796.72

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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.