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Finding the Fourth Proportional to 9,967.98, 14,951.99 and 2,948.11

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Solution

The fourth proportional to 9,967.98, 14,951.99 and 2,948.11 is: 4,422.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.98 : 14,951.99 = 2,948.11 : x
  2. Step 2: Convert to fraction form
    9,967.98/14,951.99 = 2,948.11/x
  3. Step 3: Cross multiply
    9,967.98x = 14,951.99 × 2,948.11
  4. Step 4: Simplify right side
    9,967.98x = 44,080,165.33
  5. Step 5: Solve for x
    x = 44,080,165.33/9,967.98
  6. Step 6: Final answer
    x = 4,422.18

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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.