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Finding the Fourth Proportional to 6,637.50, 9,956.48 and 3,348.81

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Solution

The fourth proportional to 6,637.50, 9,956.48 and 3,348.81 is: 5,023.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,637.50 : 9,956.48 = 3,348.81 : x
  2. Step 2: Convert to fraction form
    6,637.50/9,956.48 = 3,348.81/x
  3. Step 3: Cross multiply
    6,637.50x = 9,956.48 × 3,348.81
  4. Step 4: Simplify right side
    6,637.50x = 33,342,343.04
  5. Step 5: Solve for x
    x = 33,342,343.04/6,637.50
  6. Step 6: Final answer
    x = 5,023.33

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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.