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Finding the Fourth Proportional to 12,883.42, 17,777.92 and 7,294.42

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Solution

The fourth proportional to 12,883.42, 17,777.92 and 7,294.42 is: 10,065.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.42 : 17,777.92 = 7,294.42 : x
  2. Step 2: Convert to fraction form
    12,883.42/17,777.92 = 7,294.42/x
  3. Step 3: Cross multiply
    12,883.42x = 17,777.92 × 7,294.42
  4. Step 4: Simplify right side
    12,883.42x = 129,679,508.08
  5. Step 5: Solve for x
    x = 129,679,508.08/12,883.42
  6. Step 6: Final answer
    x = 10,065.62

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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.