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Finding the Fourth Proportional to 6,267.66, 8,649 and 3,434.48

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Solution

The fourth proportional to 6,267.66, 8,649 and 3,434.48 is: 4,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.66 : 8,649 = 3,434.48 : x
  2. Step 2: Convert to fraction form
    6,267.66/8,649 = 3,434.48/x
  3. Step 3: Cross multiply
    6,267.66x = 8,649 × 3,434.48
  4. Step 4: Simplify right side
    6,267.66x = 29,704,817.52
  5. Step 5: Solve for x
    x = 29,704,817.52/6,267.66
  6. Step 6: Final answer
    x = 4,739.38

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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.