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Finding the Fourth Proportional to 6,515.32, 9,760.02 and 5,694.52

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Solution

The fourth proportional to 6,515.32, 9,760.02 and 5,694.52 is: 8,530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.32 : 9,760.02 = 5,694.52 : x
  2. Step 2: Convert to fraction form
    6,515.32/9,760.02 = 5,694.52/x
  3. Step 3: Cross multiply
    6,515.32x = 9,760.02 × 5,694.52
  4. Step 4: Simplify right side
    6,515.32x = 55,578,629.09
  5. Step 5: Solve for x
    x = 55,578,629.09/6,515.32
  6. Step 6: Final answer
    x = 8,530.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.