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Finding the Fourth Proportional to 4,761.06, 6,569.64 and 2,771.97

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Solution

The fourth proportional to 4,761.06, 6,569.64 and 2,771.97 is: 3,824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.06 : 6,569.64 = 2,771.97 : x
  2. Step 2: Convert to fraction form
    4,761.06/6,569.64 = 2,771.97/x
  3. Step 3: Cross multiply
    4,761.06x = 6,569.64 × 2,771.97
  4. Step 4: Simplify right side
    4,761.06x = 18,210,844.99
  5. Step 5: Solve for x
    x = 18,210,844.99/4,761.06
  6. Step 6: Final answer
    x = 3,824.96

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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.