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Finding the Fourth Proportional to 12,423.20, 17,144.04 and 6,834.20

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Solution

The fourth proportional to 12,423.20, 17,144.04 and 6,834.20 is: 9,431.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.20 : 17,144.04 = 6,834.20 : x
  2. Step 2: Convert to fraction form
    12,423.20/17,144.04 = 6,834.20/x
  3. Step 3: Cross multiply
    12,423.20x = 17,144.04 × 6,834.20
  4. Step 4: Simplify right side
    12,423.20x = 117,165,712.45
  5. Step 5: Solve for x
    x = 117,165,712.45/12,423.20
  6. Step 6: Final answer
    x = 9,431.21

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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.