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Finding the Fourth Proportional to 6,637, 9,159.14 and 3,693

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Solution

The fourth proportional to 6,637, 9,159.14 and 3,693 is: 5,096.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,637 : 9,159.14 = 3,693 : x
  2. Step 2: Convert to fraction form
    6,637/9,159.14 = 3,693/x
  3. Step 3: Cross multiply
    6,637x = 9,159.14 × 3,693
  4. Step 4: Simplify right side
    6,637x = 33,824,704.02
  5. Step 5: Solve for x
    x = 33,824,704.02/6,637
  6. Step 6: Final answer
    x = 5,096.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.