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Finding the Fourth Proportional to 6,576.87, 9,851.28 and 5,322.09

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Solution

The fourth proportional to 6,576.87, 9,851.28 and 5,322.09 is: 7,971.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.87 : 9,851.28 = 5,322.09 : x
  2. Step 2: Convert to fraction form
    6,576.87/9,851.28 = 5,322.09/x
  3. Step 3: Cross multiply
    6,576.87x = 9,851.28 × 5,322.09
  4. Step 4: Simplify right side
    6,576.87x = 52,429,398.78
  5. Step 5: Solve for x
    x = 52,429,398.78/6,576.87
  6. Step 6: Final answer
    x = 7,971.79

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1.5x scale

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.