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Finding the Fourth Proportional to 6,408.71, 9,616.13 and 3,487.01

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Solution

The fourth proportional to 6,408.71, 9,616.13 and 3,487.01 is: 5,232.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.71 : 9,616.13 = 3,487.01 : x
  2. Step 2: Convert to fraction form
    6,408.71/9,616.13 = 3,487.01/x
  3. Step 3: Cross multiply
    6,408.71x = 9,616.13 × 3,487.01
  4. Step 4: Simplify right side
    6,408.71x = 33,531,524.04
  5. Step 5: Solve for x
    x = 33,531,524.04/6,408.71
  6. Step 6: Final answer
    x = 5,232.18

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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.