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Finding the Fourth Proportional to 11,807.64, 17,704.17 and 6,874.74

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Solution

The fourth proportional to 11,807.64, 17,704.17 and 6,874.74 is: 10,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.64 : 17,704.17 = 6,874.74 : x
  2. Step 2: Convert to fraction form
    11,807.64/17,704.17 = 6,874.74/x
  3. Step 3: Cross multiply
    11,807.64x = 17,704.17 × 6,874.74
  4. Step 4: Simplify right side
    11,807.64x = 121,711,565.67
  5. Step 5: Solve for x
    x = 121,711,565.67/11,807.64
  6. Step 6: Final answer
    x = 10,307.87

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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.