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Finding the Fourth Proportional to 5,615.26, 7,749.03 and 3,097.48

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Solution

The fourth proportional to 5,615.26, 7,749.03 and 3,097.48 is: 4,274.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.26 : 7,749.03 = 3,097.48 : x
  2. Step 2: Convert to fraction form
    5,615.26/7,749.03 = 3,097.48/x
  3. Step 3: Cross multiply
    5,615.26x = 7,749.03 × 3,097.48
  4. Step 4: Simplify right side
    5,615.26x = 24,002,465.44
  5. Step 5: Solve for x
    x = 24,002,465.44/5,615.26
  6. Step 6: Final answer
    x = 4,274.51

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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.