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Finding the Fourth Proportional to 6,695.20, 10,021.20 and 5,226.40

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Solution

The fourth proportional to 6,695.20, 10,021.20 and 5,226.40 is: 7,822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.20 : 10,021.20 = 5,226.40 : x
  2. Step 2: Convert to fraction form
    6,695.20/10,021.20 = 5,226.40/x
  3. Step 3: Cross multiply
    6,695.20x = 10,021.20 × 5,226.40
  4. Step 4: Simplify right side
    6,695.20x = 52,374,799.68
  5. Step 5: Solve for x
    x = 52,374,799.68/6,695.20
  6. Step 6: Final answer
    x = 7,822.74

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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.