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Finding the Fourth Proportional to 12,424.32, 17,144.96 and 6,835.20

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Solution

The fourth proportional to 12,424.32, 17,144.96 and 6,835.20 is: 9,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.32 : 17,144.96 = 6,835.20 : x
  2. Step 2: Convert to fraction form
    12,424.32/17,144.96 = 6,835.20/x
  3. Step 3: Cross multiply
    12,424.32x = 17,144.96 × 6,835.20
  4. Step 4: Simplify right side
    12,424.32x = 117,189,230.59
  5. Step 5: Solve for x
    x = 117,189,230.59/12,424.32
  6. Step 6: Final answer
    x = 9,432.25

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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.