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Finding the Fourth Proportional to 7,761.66, 11,649.77 and 4,066.54

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Solution

The fourth proportional to 7,761.66, 11,649.77 and 4,066.54 is: 6,103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.66 : 11,649.77 = 4,066.54 : x
  2. Step 2: Convert to fraction form
    7,761.66/11,649.77 = 4,066.54/x
  3. Step 3: Cross multiply
    7,761.66x = 11,649.77 × 4,066.54
  4. Step 4: Simplify right side
    7,761.66x = 47,374,236.74
  5. Step 5: Solve for x
    x = 47,374,236.74/7,761.66
  6. Step 6: Final answer
    x = 6,103.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.