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Finding the Fourth Proportional to 6,618.26, 9,924.96 and 1,937

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Solution

The fourth proportional to 6,618.26, 9,924.96 and 1,937 is: 2,904.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,618.26 : 9,924.96 = 1,937 : x
  2. Step 2: Convert to fraction form
    6,618.26/9,924.96 = 1,937/x
  3. Step 3: Cross multiply
    6,618.26x = 9,924.96 × 1,937
  4. Step 4: Simplify right side
    6,618.26x = 19,224,647.52
  5. Step 5: Solve for x
    x = 19,224,647.52/6,618.26
  6. Step 6: Final answer
    x = 2,904.79

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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.