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Finding the Fourth Proportional to 6,637.74, 9,956.61 and 2,477.58

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Solution

The fourth proportional to 6,637.74, 9,956.61 and 2,477.58 is: 3,716.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,637.74 : 9,956.61 = 2,477.58 : x
  2. Step 2: Convert to fraction form
    6,637.74/9,956.61 = 2,477.58/x
  3. Step 3: Cross multiply
    6,637.74x = 9,956.61 × 2,477.58
  4. Step 4: Simplify right side
    6,637.74x = 24,668,297.80
  5. Step 5: Solve for x
    x = 24,668,297.80/6,637.74
  6. Step 6: Final answer
    x = 3,716.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.