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Finding the Fourth Proportional to 9,968.54, 13,756.02 and 5,491.44

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Solution

The fourth proportional to 9,968.54, 13,756.02 and 5,491.44 is: 7,577.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.54 : 13,756.02 = 5,491.44 : x
  2. Step 2: Convert to fraction form
    9,968.54/13,756.02 = 5,491.44/x
  3. Step 3: Cross multiply
    9,968.54x = 13,756.02 × 5,491.44
  4. Step 4: Simplify right side
    9,968.54x = 75,540,358.47
  5. Step 5: Solve for x
    x = 75,540,358.47/9,968.54
  6. Step 6: Final answer
    x = 7,577.88

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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.