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Finding the Fourth Proportional to 27,295.28, 40,942.92 and 9,770.12

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Solution

The fourth proportional to 27,295.28, 40,942.92 and 9,770.12 is: 14,655.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,295.28 : 40,942.92 = 9,770.12 : x
  2. Step 2: Convert to fraction form
    27,295.28/40,942.92 = 9,770.12/x
  3. Step 3: Cross multiply
    27,295.28x = 40,942.92 × 9,770.12
  4. Step 4: Simplify right side
    27,295.28x = 400,017,241.55
  5. Step 5: Solve for x
    x = 400,017,241.55/27,295.28
  6. Step 6: Final answer
    x = 14,655.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.