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Finding the Fourth Proportional to 6,306.31, 9,460.97 and 1,923.49

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Solution

The fourth proportional to 6,306.31, 9,460.97 and 1,923.49 is: 2,885.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.31 : 9,460.97 = 1,923.49 : x
  2. Step 2: Convert to fraction form
    6,306.31/9,460.97 = 1,923.49/x
  3. Step 3: Cross multiply
    6,306.31x = 9,460.97 × 1,923.49
  4. Step 4: Simplify right side
    6,306.31x = 18,198,081.19
  5. Step 5: Solve for x
    x = 18,198,081.19/6,306.31
  6. Step 6: Final answer
    x = 2,885.69

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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.