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Finding the Fourth Proportional to 9,914.12, 14,873.67 and 6,998.12

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Solution

The fourth proportional to 9,914.12, 14,873.67 and 6,998.12 is: 10,498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.12 : 14,873.67 = 6,998.12 : x
  2. Step 2: Convert to fraction form
    9,914.12/14,873.67 = 6,998.12/x
  3. Step 3: Cross multiply
    9,914.12x = 14,873.67 × 6,998.12
  4. Step 4: Simplify right side
    9,914.12x = 104,087,727.50
  5. Step 5: Solve for x
    x = 104,087,727.50/9,914.12
  6. Step 6: Final answer
    x = 10,498.94

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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.