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Finding the Fourth Proportional to 6,066.77, 8,370.13 and 4,945.78

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Solution

The fourth proportional to 6,066.77, 8,370.13 and 4,945.78 is: 6,823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,066.77 : 8,370.13 = 4,945.78 : x
  2. Step 2: Convert to fraction form
    6,066.77/8,370.13 = 4,945.78/x
  3. Step 3: Cross multiply
    6,066.77x = 8,370.13 × 4,945.78
  4. Step 4: Simplify right side
    6,066.77x = 41,396,821.55
  5. Step 5: Solve for x
    x = 41,396,821.55/6,066.77
  6. Step 6: Final answer
    x = 6,823.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.