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Finding the Fourth Proportional to 6,508.80, 9,763.11 and 1,578.48

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Solution

The fourth proportional to 6,508.80, 9,763.11 and 1,578.48 is: 2,367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.80 : 9,763.11 = 1,578.48 : x
  2. Step 2: Convert to fraction form
    6,508.80/9,763.11 = 1,578.48/x
  3. Step 3: Cross multiply
    6,508.80x = 9,763.11 × 1,578.48
  4. Step 4: Simplify right side
    6,508.80x = 15,410,873.87
  5. Step 5: Solve for x
    x = 15,410,873.87/6,508.80
  6. Step 6: Final answer
    x = 2,367.70

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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.