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Finding the Fourth Proportional to 9,700.38, 13,382.28 and 5,922.09

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Solution

The fourth proportional to 9,700.38, 13,382.28 and 5,922.09 is: 8,169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.38 : 13,382.28 = 5,922.09 : x
  2. Step 2: Convert to fraction form
    9,700.38/13,382.28 = 5,922.09/x
  3. Step 3: Cross multiply
    9,700.38x = 13,382.28 × 5,922.09
  4. Step 4: Simplify right side
    9,700.38x = 79,251,066.57
  5. Step 5: Solve for x
    x = 79,251,066.57/9,700.38
  6. Step 6: Final answer
    x = 8,169.89

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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.