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Finding the Fourth Proportional to 6,697.04, 9,243.84 and 4,044

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Solution

The fourth proportional to 6,697.04, 9,243.84 and 4,044 is: 5,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.04 : 9,243.84 = 4,044 : x
  2. Step 2: Convert to fraction form
    6,697.04/9,243.84 = 4,044/x
  3. Step 3: Cross multiply
    6,697.04x = 9,243.84 × 4,044
  4. Step 4: Simplify right side
    6,697.04x = 37,382,088.96
  5. Step 5: Solve for x
    x = 37,382,088.96/6,697.04
  6. Step 6: Final answer
    x = 5,581.88

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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.