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Finding the Fourth Proportional to 9,832.38, 13,578.34 and 8,407.86

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Solution

The fourth proportional to 9,832.38, 13,578.34 and 8,407.86 is: 11,611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.38 : 13,578.34 = 8,407.86 : x
  2. Step 2: Convert to fraction form
    9,832.38/13,578.34 = 8,407.86/x
  3. Step 3: Cross multiply
    9,832.38x = 13,578.34 × 8,407.86
  4. Step 4: Simplify right side
    9,832.38x = 114,164,781.75
  5. Step 5: Solve for x
    x = 114,164,781.75/9,832.38
  6. Step 6: Final answer
    x = 11,611.10

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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.