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Finding the Fourth Proportional to 6,690.28, 9,232.49 and 3,706.11

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Solution

The fourth proportional to 6,690.28, 9,232.49 and 3,706.11 is: 5,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.28 : 9,232.49 = 3,706.11 : x
  2. Step 2: Convert to fraction form
    6,690.28/9,232.49 = 3,706.11/x
  3. Step 3: Cross multiply
    6,690.28x = 9,232.49 × 3,706.11
  4. Step 4: Simplify right side
    6,690.28x = 34,216,623.51
  5. Step 5: Solve for x
    x = 34,216,623.51/6,690.28
  6. Step 6: Final answer
    x = 5,114.38

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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.