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Finding the Fourth Proportional to 6,650.05, 9,976.54 and 1,970.43

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Solution

The fourth proportional to 6,650.05, 9,976.54 and 1,970.43 is: 2,956.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.05 : 9,976.54 = 1,970.43 : x
  2. Step 2: Convert to fraction form
    6,650.05/9,976.54 = 1,970.43/x
  3. Step 3: Cross multiply
    6,650.05x = 9,976.54 × 1,970.43
  4. Step 4: Simplify right side
    6,650.05x = 19,658,046.31
  5. Step 5: Solve for x
    x = 19,658,046.31/6,650.05
  6. Step 6: Final answer
    x = 2,956.07

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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.