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Finding the Fourth Proportional to 6,467.64, 9,699 and 5,422.74

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Solution

The fourth proportional to 6,467.64, 9,699 and 5,422.74 is: 8,132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.64 : 9,699 = 5,422.74 : x
  2. Step 2: Convert to fraction form
    6,467.64/9,699 = 5,422.74/x
  3. Step 3: Cross multiply
    6,467.64x = 9,699 × 5,422.74
  4. Step 4: Simplify right side
    6,467.64x = 52,595,155.26
  5. Step 5: Solve for x
    x = 52,595,155.26/6,467.64
  6. Step 6: Final answer
    x = 8,132.05

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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.