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Finding the Fourth Proportional to 6,696.68, 9,238.47 and 4,706.60

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Solution

The fourth proportional to 6,696.68, 9,238.47 and 4,706.60 is: 6,493.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.68 : 9,238.47 = 4,706.60 : x
  2. Step 2: Convert to fraction form
    6,696.68/9,238.47 = 4,706.60/x
  3. Step 3: Cross multiply
    6,696.68x = 9,238.47 × 4,706.60
  4. Step 4: Simplify right side
    6,696.68x = 43,481,782.90
  5. Step 5: Solve for x
    x = 43,481,782.90/6,696.68
  6. Step 6: Final answer
    x = 6,493.04

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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.