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Finding the Fourth Proportional to 7,763.32, 10,713.10 and 4,226.44

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Solution

The fourth proportional to 7,763.32, 10,713.10 and 4,226.44 is: 5,832.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.32 : 10,713.10 = 4,226.44 : x
  2. Step 2: Convert to fraction form
    7,763.32/10,713.10 = 4,226.44/x
  3. Step 3: Cross multiply
    7,763.32x = 10,713.10 × 4,226.44
  4. Step 4: Simplify right side
    7,763.32x = 45,278,274.36
  5. Step 5: Solve for x
    x = 45,278,274.36/7,763.32
  6. Step 6: Final answer
    x = 5,832.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.