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Finding the Fourth Proportional to 6,686, 10,027.92 and 4,732.28

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Solution

The fourth proportional to 6,686, 10,027.92 and 4,732.28 is: 7,097.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686 : 10,027.92 = 4,732.28 : x
  2. Step 2: Convert to fraction form
    6,686/10,027.92 = 4,732.28/x
  3. Step 3: Cross multiply
    6,686x = 10,027.92 × 4,732.28
  4. Step 4: Simplify right side
    6,686x = 47,454,925.26
  5. Step 5: Solve for x
    x = 47,454,925.26/6,686
  6. Step 6: Final answer
    x = 7,097.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.