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Finding the Fourth Proportional to 5,207.31, 7,810.11 and 1,696.83

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Solution

The fourth proportional to 5,207.31, 7,810.11 and 1,696.83 is: 2,544.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.31 : 7,810.11 = 1,696.83 : x
  2. Step 2: Convert to fraction form
    5,207.31/7,810.11 = 1,696.83/x
  3. Step 3: Cross multiply
    5,207.31x = 7,810.11 × 1,696.83
  4. Step 4: Simplify right side
    5,207.31x = 13,252,428.95
  5. Step 5: Solve for x
    x = 13,252,428.95/5,207.31
  6. Step 6: Final answer
    x = 2,544.97

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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.