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Finding the Fourth Proportional to 12,241.61, 16,893.07 and 6,938.14

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Solution

The fourth proportional to 12,241.61, 16,893.07 and 6,938.14 is: 9,574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.61 : 16,893.07 = 6,938.14 : x
  2. Step 2: Convert to fraction form
    12,241.61/16,893.07 = 6,938.14/x
  3. Step 3: Cross multiply
    12,241.61x = 16,893.07 × 6,938.14
  4. Step 4: Simplify right side
    12,241.61x = 117,206,484.69
  5. Step 5: Solve for x
    x = 117,206,484.69/12,241.61
  6. Step 6: Final answer
    x = 9,574.43

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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.