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Finding the Fourth Proportional to 7,761.01, 11,640.97 and 4,463.77

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Solution

The fourth proportional to 7,761.01, 11,640.97 and 4,463.77 is: 6,695.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.01 : 11,640.97 = 4,463.77 : x
  2. Step 2: Convert to fraction form
    7,761.01/11,640.97 = 4,463.77/x
  3. Step 3: Cross multiply
    7,761.01x = 11,640.97 × 4,463.77
  4. Step 4: Simplify right side
    7,761.01x = 51,962,612.66
  5. Step 5: Solve for x
    x = 51,962,612.66/7,761.01
  6. Step 6: Final answer
    x = 6,695.34

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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.