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Finding the Fourth Proportional to 6,398.72, 9,596.58 and 2,449.16

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Solution

The fourth proportional to 6,398.72, 9,596.58 and 2,449.16 is: 3,673.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.72 : 9,596.58 = 2,449.16 : x
  2. Step 2: Convert to fraction form
    6,398.72/9,596.58 = 2,449.16/x
  3. Step 3: Cross multiply
    6,398.72x = 9,596.58 × 2,449.16
  4. Step 4: Simplify right side
    6,398.72x = 23,503,559.87
  5. Step 5: Solve for x
    x = 23,503,559.87/6,398.72
  6. Step 6: Final answer
    x = 3,673.17

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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.