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Finding the Fourth Proportional to 8,034.72, 12,031.11 and 6,466.15

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Solution

The fourth proportional to 8,034.72, 12,031.11 and 6,466.15 is: 9,682.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.72 : 12,031.11 = 6,466.15 : x
  2. Step 2: Convert to fraction form
    8,034.72/12,031.11 = 6,466.15/x
  3. Step 3: Cross multiply
    8,034.72x = 12,031.11 × 6,466.15
  4. Step 4: Simplify right side
    8,034.72x = 77,794,961.93
  5. Step 5: Solve for x
    x = 77,794,961.93/8,034.72
  6. Step 6: Final answer
    x = 9,682.35

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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.