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Finding the Fourth Proportional to 6,681.14, 9,214.38 and 5,006.48

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Solution

The fourth proportional to 6,681.14, 9,214.38 and 5,006.48 is: 6,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.14 : 9,214.38 = 5,006.48 : x
  2. Step 2: Convert to fraction form
    6,681.14/9,214.38 = 5,006.48/x
  3. Step 3: Cross multiply
    6,681.14x = 9,214.38 × 5,006.48
  4. Step 4: Simplify right side
    6,681.14x = 46,131,609.18
  5. Step 5: Solve for x
    x = 46,131,609.18/6,681.14
  6. Step 6: Final answer
    x = 6,904.75

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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.