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Finding the Fourth Proportional to 6,378.28, 9,566.04 and 4,524.22

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Solution

The fourth proportional to 6,378.28, 9,566.04 and 4,524.22 is: 6,785.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.28 : 9,566.04 = 4,524.22 : x
  2. Step 2: Convert to fraction form
    6,378.28/9,566.04 = 4,524.22/x
  3. Step 3: Cross multiply
    6,378.28x = 9,566.04 × 4,524.22
  4. Step 4: Simplify right side
    6,378.28x = 43,278,869.49
  5. Step 5: Solve for x
    x = 43,278,869.49/6,378.28
  6. Step 6: Final answer
    x = 6,785.35

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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.