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Finding the Fourth Proportional to 6,563.96, 9,850.96 and 2,407.90

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Solution

The fourth proportional to 6,563.96, 9,850.96 and 2,407.90 is: 3,613.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.96 : 9,850.96 = 2,407.90 : x
  2. Step 2: Convert to fraction form
    6,563.96/9,850.96 = 2,407.90/x
  3. Step 3: Cross multiply
    6,563.96x = 9,850.96 × 2,407.90
  4. Step 4: Simplify right side
    6,563.96x = 23,720,126.58
  5. Step 5: Solve for x
    x = 23,720,126.58/6,563.96
  6. Step 6: Final answer
    x = 3,613.69

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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.