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Finding the Fourth Proportional to 9,569.50, 14,354.25 and 2,644

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Solution

The fourth proportional to 9,569.50, 14,354.25 and 2,644 is: 3,966

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.50 : 14,354.25 = 2,644 : x
  2. Step 2: Convert to fraction form
    9,569.50/14,354.25 = 2,644/x
  3. Step 3: Cross multiply
    9,569.50x = 14,354.25 × 2,644
  4. Step 4: Simplify right side
    9,569.50x = 37,952,637
  5. Step 5: Solve for x
    x = 37,952,637/9,569.50
  6. Step 6: Final answer
    x = 3,966

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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.