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Finding the Fourth Proportional to 5,206.71, 7,810.20 and 1,696.73

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Solution

The fourth proportional to 5,206.71, 7,810.20 and 1,696.73 is: 2,545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.71 : 7,810.20 = 1,696.73 : x
  2. Step 2: Convert to fraction form
    5,206.71/7,810.20 = 1,696.73/x
  3. Step 3: Cross multiply
    5,206.71x = 7,810.20 × 1,696.73
  4. Step 4: Simplify right side
    5,206.71x = 13,251,761.60
  5. Step 5: Solve for x
    x = 13,251,761.60/5,206.71
  6. Step 6: Final answer
    x = 2,545.13

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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.