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Finding the Fourth Proportional to 8,643.06, 12,969.84 and 3,448.50

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Solution

The fourth proportional to 8,643.06, 12,969.84 and 3,448.50 is: 5,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.06 : 12,969.84 = 3,448.50 : x
  2. Step 2: Convert to fraction form
    8,643.06/12,969.84 = 3,448.50/x
  3. Step 3: Cross multiply
    8,643.06x = 12,969.84 × 3,448.50
  4. Step 4: Simplify right side
    8,643.06x = 44,726,493.24
  5. Step 5: Solve for x
    x = 44,726,493.24/8,643.06
  6. Step 6: Final answer
    x = 5,174.84

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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.