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Finding the Fourth Proportional to 6,467.12, 9,702.98 and 3,182.50

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Solution

The fourth proportional to 6,467.12, 9,702.98 and 3,182.50 is: 4,774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.12 : 9,702.98 = 3,182.50 : x
  2. Step 2: Convert to fraction form
    6,467.12/9,702.98 = 3,182.50/x
  3. Step 3: Cross multiply
    6,467.12x = 9,702.98 × 3,182.50
  4. Step 4: Simplify right side
    6,467.12x = 30,879,733.85
  5. Step 5: Solve for x
    x = 30,879,733.85/6,467.12
  6. Step 6: Final answer
    x = 4,774.88

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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.