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Finding the Fourth Proportional to 6,984.97, 10,479.12 and 2,054.77

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Solution

The fourth proportional to 6,984.97, 10,479.12 and 2,054.77 is: 3,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.97 : 10,479.12 = 2,054.77 : x
  2. Step 2: Convert to fraction form
    6,984.97/10,479.12 = 2,054.77/x
  3. Step 3: Cross multiply
    6,984.97x = 10,479.12 × 2,054.77
  4. Step 4: Simplify right side
    6,984.97x = 21,532,181.40
  5. Step 5: Solve for x
    x = 21,532,181.40/6,984.97
  6. Step 6: Final answer
    x = 3,082.64

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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.