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Finding the Fourth Proportional to 6,473.21, 9,695.21 and 4,534.07

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Solution

The fourth proportional to 6,473.21, 9,695.21 and 4,534.07 is: 6,790.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.21 : 9,695.21 = 4,534.07 : x
  2. Step 2: Convert to fraction form
    6,473.21/9,695.21 = 4,534.07/x
  3. Step 3: Cross multiply
    6,473.21x = 9,695.21 × 4,534.07
  4. Step 4: Simplify right side
    6,473.21x = 43,958,689.66
  5. Step 5: Solve for x
    x = 43,958,689.66/6,473.21
  6. Step 6: Final answer
    x = 6,790.87

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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.