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Finding the Fourth Proportional to 6,205.78, 9,350.08 and 5,613.48

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Solution

The fourth proportional to 6,205.78, 9,350.08 and 5,613.48 is: 8,457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.78 : 9,350.08 = 5,613.48 : x
  2. Step 2: Convert to fraction form
    6,205.78/9,350.08 = 5,613.48/x
  3. Step 3: Cross multiply
    6,205.78x = 9,350.08 × 5,613.48
  4. Step 4: Simplify right side
    6,205.78x = 52,486,473.04
  5. Step 5: Solve for x
    x = 52,486,473.04/6,205.78
  6. Step 6: Final answer
    x = 8,457.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.