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Finding the Fourth Proportional to 5,101.68, 7,654.71 and 2,763.33

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Solution

The fourth proportional to 5,101.68, 7,654.71 and 2,763.33 is: 4,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.68 : 7,654.71 = 2,763.33 : x
  2. Step 2: Convert to fraction form
    5,101.68/7,654.71 = 2,763.33/x
  3. Step 3: Cross multiply
    5,101.68x = 7,654.71 × 2,763.33
  4. Step 4: Simplify right side
    5,101.68x = 21,152,489.78
  5. Step 5: Solve for x
    x = 21,152,489.78/5,101.68
  6. Step 6: Final answer
    x = 4,146.18

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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.