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Finding the Fourth Proportional to 5,615.24, 7,748.84 and 3,097.44

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Solution

The fourth proportional to 5,615.24, 7,748.84 and 3,097.44 is: 4,274.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.24 : 7,748.84 = 3,097.44 : x
  2. Step 2: Convert to fraction form
    5,615.24/7,748.84 = 3,097.44/x
  3. Step 3: Cross multiply
    5,615.24x = 7,748.84 × 3,097.44
  4. Step 4: Simplify right side
    5,615.24x = 24,001,566.97
  5. Step 5: Solve for x
    x = 24,001,566.97/5,615.24
  6. Step 6: Final answer
    x = 4,274.36

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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.