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Finding the Fourth Proportional to 6,331.86, 9,497.34 and 1,948.86

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Solution

The fourth proportional to 6,331.86, 9,497.34 and 1,948.86 is: 2,923.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.86 : 9,497.34 = 1,948.86 : x
  2. Step 2: Convert to fraction form
    6,331.86/9,497.34 = 1,948.86/x
  3. Step 3: Cross multiply
    6,331.86x = 9,497.34 × 1,948.86
  4. Step 4: Simplify right side
    6,331.86x = 18,508,986.03
  5. Step 5: Solve for x
    x = 18,508,986.03/6,331.86
  6. Step 6: Final answer
    x = 2,923.15

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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.