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Finding the Fourth Proportional to 6,704.38, 10,018.13 and 5,114.38

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Solution

The fourth proportional to 6,704.38, 10,018.13 and 5,114.38 is: 7,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.38 : 10,018.13 = 5,114.38 : x
  2. Step 2: Convert to fraction form
    6,704.38/10,018.13 = 5,114.38/x
  3. Step 3: Cross multiply
    6,704.38x = 10,018.13 × 5,114.38
  4. Step 4: Simplify right side
    6,704.38x = 51,236,523.71
  5. Step 5: Solve for x
    x = 51,236,523.71/6,704.38
  6. Step 6: Final answer
    x = 7,642.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.