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Finding the Fourth Proportional to 5,615.66, 7,749.42 and 3,097.82

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Solution

The fourth proportional to 5,615.66, 7,749.42 and 3,097.82 is: 4,274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.66 : 7,749.42 = 3,097.82 : x
  2. Step 2: Convert to fraction form
    5,615.66/7,749.42 = 3,097.82/x
  3. Step 3: Cross multiply
    5,615.66x = 7,749.42 × 3,097.82
  4. Step 4: Simplify right side
    5,615.66x = 24,006,308.26
  5. Step 5: Solve for x
    x = 24,006,308.26/5,615.66
  6. Step 6: Final answer
    x = 4,274.89

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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.