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Finding the Fourth Proportional to 6,167.68, 8,510.77 and 3,649.30

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Solution

The fourth proportional to 6,167.68, 8,510.77 and 3,649.30 is: 5,035.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.68 : 8,510.77 = 3,649.30 : x
  2. Step 2: Convert to fraction form
    6,167.68/8,510.77 = 3,649.30/x
  3. Step 3: Cross multiply
    6,167.68x = 8,510.77 × 3,649.30
  4. Step 4: Simplify right side
    6,167.68x = 31,058,363.59
  5. Step 5: Solve for x
    x = 31,058,363.59/6,167.68
  6. Step 6: Final answer
    x = 5,035.66

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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.