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Finding the Fourth Proportional to 7,097.25, 10,646.01 and 2,480.25

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Solution

The fourth proportional to 7,097.25, 10,646.01 and 2,480.25 is: 3,720.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.25 : 10,646.01 = 2,480.25 : x
  2. Step 2: Convert to fraction form
    7,097.25/10,646.01 = 2,480.25/x
  3. Step 3: Cross multiply
    7,097.25x = 10,646.01 × 2,480.25
  4. Step 4: Simplify right side
    7,097.25x = 26,404,766.30
  5. Step 5: Solve for x
    x = 26,404,766.30/7,097.25
  6. Step 6: Final answer
    x = 3,720.42

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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.