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Finding the Fourth Proportional to 6,166.85, 8,509.59 and 3,649.05

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Solution

The fourth proportional to 6,166.85, 8,509.59 and 3,649.05 is: 5,035.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.85 : 8,509.59 = 3,649.05 : x
  2. Step 2: Convert to fraction form
    6,166.85/8,509.59 = 3,649.05/x
  3. Step 3: Cross multiply
    6,166.85x = 8,509.59 × 3,649.05
  4. Step 4: Simplify right side
    6,166.85x = 31,051,919.39
  5. Step 5: Solve for x
    x = 31,051,919.39/6,166.85
  6. Step 6: Final answer
    x = 5,035.30

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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.