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Finding the Fourth Proportional to 6,984.92, 10,478.84 and 2,054.14

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Solution

The fourth proportional to 6,984.92, 10,478.84 and 2,054.14 is: 3,081.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.92 : 10,478.84 = 2,054.14 : x
  2. Step 2: Convert to fraction form
    6,984.92/10,478.84 = 2,054.14/x
  3. Step 3: Cross multiply
    6,984.92x = 10,478.84 × 2,054.14
  4. Step 4: Simplify right side
    6,984.92x = 21,525,018.78
  5. Step 5: Solve for x
    x = 21,525,018.78/6,984.92
  6. Step 6: Final answer
    x = 3,081.64

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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.