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Finding the Fourth Proportional to 5,161.92, 7,743.42 and 1,699.17

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Solution

The fourth proportional to 5,161.92, 7,743.42 and 1,699.17 is: 2,548.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.92 : 7,743.42 = 1,699.17 : x
  2. Step 2: Convert to fraction form
    5,161.92/7,743.42 = 1,699.17/x
  3. Step 3: Cross multiply
    5,161.92x = 7,743.42 × 1,699.17
  4. Step 4: Simplify right side
    5,161.92x = 13,157,386.96
  5. Step 5: Solve for x
    x = 13,157,386.96/5,161.92
  6. Step 6: Final answer
    x = 2,548.93

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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.