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Finding the Fourth Proportional to 9,221.84, 13,836.78 and 4,838.24

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Solution

The fourth proportional to 9,221.84, 13,836.78 and 4,838.24 is: 7,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.84 : 13,836.78 = 4,838.24 : x
  2. Step 2: Convert to fraction form
    9,221.84/13,836.78 = 4,838.24/x
  3. Step 3: Cross multiply
    9,221.84x = 13,836.78 × 4,838.24
  4. Step 4: Simplify right side
    9,221.84x = 66,945,662.47
  5. Step 5: Solve for x
    x = 66,945,662.47/9,221.84
  6. Step 6: Final answer
    x = 7,259.47

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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.