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Finding the Fourth Proportional to 6,961.46, 10,442.05 and 1,696.39

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Solution

The fourth proportional to 6,961.46, 10,442.05 and 1,696.39 is: 2,544.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.46 : 10,442.05 = 1,696.39 : x
  2. Step 2: Convert to fraction form
    6,961.46/10,442.05 = 1,696.39/x
  3. Step 3: Cross multiply
    6,961.46x = 10,442.05 × 1,696.39
  4. Step 4: Simplify right side
    6,961.46x = 17,713,758.85
  5. Step 5: Solve for x
    x = 17,713,758.85/6,961.46
  6. Step 6: Final answer
    x = 2,544.55

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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.