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Finding the Fourth Proportional to 5,615.37, 7,749.14 and 3,097.76

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Solution

The fourth proportional to 5,615.37, 7,749.14 and 3,097.76 is: 4,274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.37 : 7,749.14 = 3,097.76 : x
  2. Step 2: Convert to fraction form
    5,615.37/7,749.14 = 3,097.76/x
  3. Step 3: Cross multiply
    5,615.37x = 7,749.14 × 3,097.76
  4. Step 4: Simplify right side
    5,615.37x = 24,004,921.69
  5. Step 5: Solve for x
    x = 24,004,921.69/5,615.37
  6. Step 6: Final answer
    x = 4,274.86

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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.