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Finding the Fourth Proportional to 6,384.61, 9,576.90 and 2,002.06

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Solution

The fourth proportional to 6,384.61, 9,576.90 and 2,002.06 is: 3,003.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.61 : 9,576.90 = 2,002.06 : x
  2. Step 2: Convert to fraction form
    6,384.61/9,576.90 = 2,002.06/x
  3. Step 3: Cross multiply
    6,384.61x = 9,576.90 × 2,002.06
  4. Step 4: Simplify right side
    6,384.61x = 19,173,504.47
  5. Step 5: Solve for x
    x = 19,173,504.47/6,384.61
  6. Step 6: Final answer
    x = 3,003.08

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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.