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Finding the Fourth Proportional to 6,384.52, 9,576.54 and 2,002.12

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Solution

The fourth proportional to 6,384.52, 9,576.54 and 2,002.12 is: 3,003.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.52 : 9,576.54 = 2,002.12 : x
  2. Step 2: Convert to fraction form
    6,384.52/9,576.54 = 2,002.12/x
  3. Step 3: Cross multiply
    6,384.52x = 9,576.54 × 2,002.12
  4. Step 4: Simplify right side
    6,384.52x = 19,173,382.26
  5. Step 5: Solve for x
    x = 19,173,382.26/6,384.52
  6. Step 6: Final answer
    x = 3,003.10

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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.