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Finding the Fourth Proportional to 5,647.52, 8,470.68 and 1,949.33

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Solution

The fourth proportional to 5,647.52, 8,470.68 and 1,949.33 is: 2,923.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.52 : 8,470.68 = 1,949.33 : x
  2. Step 2: Convert to fraction form
    5,647.52/8,470.68 = 1,949.33/x
  3. Step 3: Cross multiply
    5,647.52x = 8,470.68 × 1,949.33
  4. Step 4: Simplify right side
    5,647.52x = 16,512,164.51
  5. Step 5: Solve for x
    x = 16,512,164.51/5,647.52
  6. Step 6: Final answer
    x = 2,923.79

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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.