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Finding the Fourth Proportional to 7,392.94, 10,198.91 and 5,002.16

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Solution

The fourth proportional to 7,392.94, 10,198.91 and 5,002.16 is: 6,900.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,392.94 : 10,198.91 = 5,002.16 : x
  2. Step 2: Convert to fraction form
    7,392.94/10,198.91 = 5,002.16/x
  3. Step 3: Cross multiply
    7,392.94x = 10,198.91 × 5,002.16
  4. Step 4: Simplify right side
    7,392.94x = 51,016,541.16
  5. Step 5: Solve for x
    x = 51,016,541.16/7,392.94
  6. Step 6: Final answer
    x = 6,900.71

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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.