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Finding the Fourth Proportional to 7,334, 10,121.56 and 4,022.64

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Solution

The fourth proportional to 7,334, 10,121.56 and 4,022.64 is: 5,551.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334 : 10,121.56 = 4,022.64 : x
  2. Step 2: Convert to fraction form
    7,334/10,121.56 = 4,022.64/x
  3. Step 3: Cross multiply
    7,334x = 10,121.56 × 4,022.64
  4. Step 4: Simplify right side
    7,334x = 40,715,392.12
  5. Step 5: Solve for x
    x = 40,715,392.12/7,334
  6. Step 6: Final answer
    x = 5,551.59

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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.