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Finding the Fourth Proportional to 6,264, 9,398.16 and 2,567.43

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Solution

The fourth proportional to 6,264, 9,398.16 and 2,567.43 is: 3,852.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264 : 9,398.16 = 2,567.43 : x
  2. Step 2: Convert to fraction form
    6,264/9,398.16 = 2,567.43/x
  3. Step 3: Cross multiply
    6,264x = 9,398.16 × 2,567.43
  4. Step 4: Simplify right side
    6,264x = 24,129,117.93
  5. Step 5: Solve for x
    x = 24,129,117.93/6,264
  6. Step 6: Final answer
    x = 3,852.03

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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.