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Finding the Fourth Proportional to 7,294.25, 10,066.07 and 3,982.25

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Solution

The fourth proportional to 7,294.25, 10,066.07 and 3,982.25 is: 5,495.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.25 : 10,066.07 = 3,982.25 : x
  2. Step 2: Convert to fraction form
    7,294.25/10,066.07 = 3,982.25/x
  3. Step 3: Cross multiply
    7,294.25x = 10,066.07 × 3,982.25
  4. Step 4: Simplify right side
    7,294.25x = 40,085,607.26
  5. Step 5: Solve for x
    x = 40,085,607.26/7,294.25
  6. Step 6: Final answer
    x = 5,495.51

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1.5x scale

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.