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Finding the Fourth Proportional to 9,164.24, 13,744.80 and 3,008.24

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Solution

The fourth proportional to 9,164.24, 13,744.80 and 3,008.24 is: 4,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.24 : 13,744.80 = 3,008.24 : x
  2. Step 2: Convert to fraction form
    9,164.24/13,744.80 = 3,008.24/x
  3. Step 3: Cross multiply
    9,164.24x = 13,744.80 × 3,008.24
  4. Step 4: Simplify right side
    9,164.24x = 41,347,657.15
  5. Step 5: Solve for x
    x = 41,347,657.15/9,164.24
  6. Step 6: Final answer
    x = 4,511.85

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1.5x scale

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.