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Finding the Fourth Proportional to 6,894.33, 9,511.12 and 4,240.17

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Solution

The fourth proportional to 6,894.33, 9,511.12 and 4,240.17 is: 5,849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.33 : 9,511.12 = 4,240.17 : x
  2. Step 2: Convert to fraction form
    6,894.33/9,511.12 = 4,240.17/x
  3. Step 3: Cross multiply
    6,894.33x = 9,511.12 × 4,240.17
  4. Step 4: Simplify right side
    6,894.33x = 40,328,765.69
  5. Step 5: Solve for x
    x = 40,328,765.69/6,894.33
  6. Step 6: Final answer
    x = 5,849.56

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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.