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Finding the Fourth Proportional to 9,992.50, 14,972.34 and 3,415.10

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Solution

The fourth proportional to 9,992.50, 14,972.34 and 3,415.10 is: 5,117.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.50 : 14,972.34 = 3,415.10 : x
  2. Step 2: Convert to fraction form
    9,992.50/14,972.34 = 3,415.10/x
  3. Step 3: Cross multiply
    9,992.50x = 14,972.34 × 3,415.10
  4. Step 4: Simplify right side
    9,992.50x = 51,131,976.28
  5. Step 5: Solve for x
    x = 51,131,976.28/9,992.50
  6. Step 6: Final answer
    x = 5,117.04

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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.