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Finding the Fourth Proportional to 9,836.86, 13,565.22 and 6,245.58

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Solution

The fourth proportional to 9,836.86, 13,565.22 and 6,245.58 is: 8,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.86 : 13,565.22 = 6,245.58 : x
  2. Step 2: Convert to fraction form
    9,836.86/13,565.22 = 6,245.58/x
  3. Step 3: Cross multiply
    9,836.86x = 13,565.22 × 6,245.58
  4. Step 4: Simplify right side
    9,836.86x = 84,722,693.78
  5. Step 5: Solve for x
    x = 84,722,693.78/9,836.86
  6. Step 6: Final answer
    x = 8,612.78

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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.