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Finding the Fourth Proportional to 5,116.97, 7,674.85 and 3,009.86

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Solution

The fourth proportional to 5,116.97, 7,674.85 and 3,009.86 is: 4,514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.97 : 7,674.85 = 3,009.86 : x
  2. Step 2: Convert to fraction form
    5,116.97/7,674.85 = 3,009.86/x
  3. Step 3: Cross multiply
    5,116.97x = 7,674.85 × 3,009.86
  4. Step 4: Simplify right side
    5,116.97x = 23,100,218.19
  5. Step 5: Solve for x
    x = 23,100,218.19/5,116.97
  6. Step 6: Final answer
    x = 4,514.43

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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.