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Finding the Fourth Proportional to 7,914.39, 11,854.17 and 6,847.62

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Solution

The fourth proportional to 7,914.39, 11,854.17 and 6,847.62 is: 10,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.39 : 11,854.17 = 6,847.62 : x
  2. Step 2: Convert to fraction form
    7,914.39/11,854.17 = 6,847.62/x
  3. Step 3: Cross multiply
    7,914.39x = 11,854.17 × 6,847.62
  4. Step 4: Simplify right side
    7,914.39x = 81,172,851.58
  5. Step 5: Solve for x
    x = 81,172,851.58/7,914.39
  6. Step 6: Final answer
    x = 10,256.36

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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.