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Finding the Fourth Proportional to 6,344.96, 9,515.76 and 4,266.64

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Solution

The fourth proportional to 6,344.96, 9,515.76 and 4,266.64 is: 6,398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.96 : 9,515.76 = 4,266.64 : x
  2. Step 2: Convert to fraction form
    6,344.96/9,515.76 = 4,266.64/x
  3. Step 3: Cross multiply
    6,344.96x = 9,515.76 × 4,266.64
  4. Step 4: Simplify right side
    6,344.96x = 40,600,322.25
  5. Step 5: Solve for x
    x = 40,600,322.25/6,344.96
  6. Step 6: Final answer
    x = 6,398.83

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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.