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Finding the Fourth Proportional to 6,463.72, 9,697.49 and 2,081.07

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Solution

The fourth proportional to 6,463.72, 9,697.49 and 2,081.07 is: 3,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.72 : 9,697.49 = 2,081.07 : x
  2. Step 2: Convert to fraction form
    6,463.72/9,697.49 = 2,081.07/x
  3. Step 3: Cross multiply
    6,463.72x = 9,697.49 × 2,081.07
  4. Step 4: Simplify right side
    6,463.72x = 20,181,155.51
  5. Step 5: Solve for x
    x = 20,181,155.51/6,463.72
  6. Step 6: Final answer
    x = 3,122.22

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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.