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Finding the Fourth Proportional to 6,696.61, 9,241.36 and 3,712.25

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Solution

The fourth proportional to 6,696.61, 9,241.36 and 3,712.25 is: 5,122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.61 : 9,241.36 = 3,712.25 : x
  2. Step 2: Convert to fraction form
    6,696.61/9,241.36 = 3,712.25/x
  3. Step 3: Cross multiply
    6,696.61x = 9,241.36 × 3,712.25
  4. Step 4: Simplify right side
    6,696.61x = 34,306,252.48
  5. Step 5: Solve for x
    x = 34,306,252.48/6,696.61
  6. Step 6: Final answer
    x = 5,122.93

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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.