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Finding the Fourth Proportional to 6,374.98, 9,562.47 and 1,992.46

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Solution

The fourth proportional to 6,374.98, 9,562.47 and 1,992.46 is: 2,988.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.98 : 9,562.47 = 1,992.46 : x
  2. Step 2: Convert to fraction form
    6,374.98/9,562.47 = 1,992.46/x
  3. Step 3: Cross multiply
    6,374.98x = 9,562.47 × 1,992.46
  4. Step 4: Simplify right side
    6,374.98x = 19,052,791.16
  5. Step 5: Solve for x
    x = 19,052,791.16/6,374.98
  6. Step 6: Final answer
    x = 2,988.68

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1.5x scale

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.