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Finding the Fourth Proportional to 11,470.01, 17,206.04 and 4,449.85

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Solution

The fourth proportional to 11,470.01, 17,206.04 and 4,449.85 is: 6,675.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.01 : 17,206.04 = 4,449.85 : x
  2. Step 2: Convert to fraction form
    11,470.01/17,206.04 = 4,449.85/x
  3. Step 3: Cross multiply
    11,470.01x = 17,206.04 × 4,449.85
  4. Step 4: Simplify right side
    11,470.01x = 76,564,361.99
  5. Step 5: Solve for x
    x = 76,564,361.99/11,470.01
  6. Step 6: Final answer
    x = 6,675.18

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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.