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Finding the Fourth Proportional to 12,493.64, 17,241.20 and 6,828.42

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Solution

The fourth proportional to 12,493.64, 17,241.20 and 6,828.42 is: 9,423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.64 : 17,241.20 = 6,828.42 : x
  2. Step 2: Convert to fraction form
    12,493.64/17,241.20 = 6,828.42/x
  3. Step 3: Cross multiply
    12,493.64x = 17,241.20 × 6,828.42
  4. Step 4: Simplify right side
    12,493.64x = 117,730,154.90
  5. Step 5: Solve for x
    x = 117,730,154.90/12,493.64
  6. Step 6: Final answer
    x = 9,423.21

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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.