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Finding the Fourth Proportional to 6,691, 9,226.04 and 5,007

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Solution

The fourth proportional to 6,691, 9,226.04 and 5,007 is: 6,904.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691 : 9,226.04 = 5,007 : x
  2. Step 2: Convert to fraction form
    6,691/9,226.04 = 5,007/x
  3. Step 3: Cross multiply
    6,691x = 9,226.04 × 5,007
  4. Step 4: Simplify right side
    6,691x = 46,194,782.28
  5. Step 5: Solve for x
    x = 46,194,782.28/6,691
  6. Step 6: Final answer
    x = 6,904.02

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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.