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Finding the Fourth Proportional to 6,840.70, 9,440.17 and 3,696.89

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Solution

The fourth proportional to 6,840.70, 9,440.17 and 3,696.89 is: 5,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.70 : 9,440.17 = 3,696.89 : x
  2. Step 2: Convert to fraction form
    6,840.70/9,440.17 = 3,696.89/x
  3. Step 3: Cross multiply
    6,840.70x = 9,440.17 × 3,696.89
  4. Step 4: Simplify right side
    6,840.70x = 34,899,277.13
  5. Step 5: Solve for x
    x = 34,899,277.13/6,840.70
  6. Step 6: Final answer
    x = 5,101.71

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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.