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Finding the Fourth Proportional to 4,616.97, 6,929.10 and 1,696.11

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Solution

The fourth proportional to 4,616.97, 6,929.10 and 1,696.11 is: 2,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.97 : 6,929.10 = 1,696.11 : x
  2. Step 2: Convert to fraction form
    4,616.97/6,929.10 = 1,696.11/x
  3. Step 3: Cross multiply
    4,616.97x = 6,929.10 × 1,696.11
  4. Step 4: Simplify right side
    4,616.97x = 11,752,515.80
  5. Step 5: Solve for x
    x = 11,752,515.80/4,616.97
  6. Step 6: Final answer
    x = 2,545.50

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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.