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Finding the Fourth Proportional to 6,983.64, 9,637.29 and 3,797.00

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Solution

The fourth proportional to 6,983.64, 9,637.29 and 3,797.00 is: 5,239.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.64 : 9,637.29 = 3,797.00 : x
  2. Step 2: Convert to fraction form
    6,983.64/9,637.29 = 3,797.00/x
  3. Step 3: Cross multiply
    6,983.64x = 9,637.29 × 3,797.00
  4. Step 4: Simplify right side
    6,983.64x = 36,592,794.51
  5. Step 5: Solve for x
    x = 36,592,794.51/6,983.64
  6. Step 6: Final answer
    x = 5,239.79

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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.