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Finding the Fourth Proportional to 6,997.95, 9,657.85 and 5,226.48

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Solution

The fourth proportional to 6,997.95, 9,657.85 and 5,226.48 is: 7,213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.95 : 9,657.85 = 5,226.48 : x
  2. Step 2: Convert to fraction form
    6,997.95/9,657.85 = 5,226.48/x
  3. Step 3: Cross multiply
    6,997.95x = 9,657.85 × 5,226.48
  4. Step 4: Simplify right side
    6,997.95x = 50,476,559.87
  5. Step 5: Solve for x
    x = 50,476,559.87/6,997.95
  6. Step 6: Final answer
    x = 7,213.05

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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.