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Finding the Fourth Proportional to 6,576.64, 9,851.20 and 3,069.68

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Solution

The fourth proportional to 6,576.64, 9,851.20 and 3,069.68 is: 4,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.64 : 9,851.20 = 3,069.68 : x
  2. Step 2: Convert to fraction form
    6,576.64/9,851.20 = 3,069.68/x
  3. Step 3: Cross multiply
    6,576.64x = 9,851.20 × 3,069.68
  4. Step 4: Simplify right side
    6,576.64x = 30,240,031.62
  5. Step 5: Solve for x
    x = 30,240,031.62/6,576.64
  6. Step 6: Final answer
    x = 4,598.10

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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.