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Finding the Fourth Proportional to 7,704.74, 10,643.08 and 5,958.38

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Solution

The fourth proportional to 7,704.74, 10,643.08 and 5,958.38 is: 8,230.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.74 : 10,643.08 = 5,958.38 : x
  2. Step 2: Convert to fraction form
    7,704.74/10,643.08 = 5,958.38/x
  3. Step 3: Cross multiply
    7,704.74x = 10,643.08 × 5,958.38
  4. Step 4: Simplify right side
    7,704.74x = 63,415,515.01
  5. Step 5: Solve for x
    x = 63,415,515.01/7,704.74
  6. Step 6: Final answer
    x = 8,230.71

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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.