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Finding the Fourth Proportional to 6,297.72, 8,686.10 and 4,169.48

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Solution

The fourth proportional to 6,297.72, 8,686.10 and 4,169.48 is: 5,750.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.72 : 8,686.10 = 4,169.48 : x
  2. Step 2: Convert to fraction form
    6,297.72/8,686.10 = 4,169.48/x
  3. Step 3: Cross multiply
    6,297.72x = 8,686.10 × 4,169.48
  4. Step 4: Simplify right side
    6,297.72x = 36,216,520.23
  5. Step 5: Solve for x
    x = 36,216,520.23/6,297.72
  6. Step 6: Final answer
    x = 5,750.74

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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.