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Finding the Fourth Proportional to 6,696.41, 9,239.87 and 4,177.71

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Solution

The fourth proportional to 6,696.41, 9,239.87 and 4,177.71 is: 5,764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.41 : 9,239.87 = 4,177.71 : x
  2. Step 2: Convert to fraction form
    6,696.41/9,239.87 = 4,177.71/x
  3. Step 3: Cross multiply
    6,696.41x = 9,239.87 × 4,177.71
  4. Step 4: Simplify right side
    6,696.41x = 38,601,507.74
  5. Step 5: Solve for x
    x = 38,601,507.74/6,696.41
  6. Step 6: Final answer
    x = 5,764.51

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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.