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Finding the Fourth Proportional to 9,996.62, 14,992.31 and 2,974.75

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Solution

The fourth proportional to 9,996.62, 14,992.31 and 2,974.75 is: 4,461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.62 : 14,992.31 = 2,974.75 : x
  2. Step 2: Convert to fraction form
    9,996.62/14,992.31 = 2,974.75/x
  3. Step 3: Cross multiply
    9,996.62x = 14,992.31 × 2,974.75
  4. Step 4: Simplify right side
    9,996.62x = 44,598,374.17
  5. Step 5: Solve for x
    x = 44,598,374.17/9,996.62
  6. Step 6: Final answer
    x = 4,461.35

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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.