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Finding the Fourth Proportional to 7,224.84, 10,836.03 and 2,029.50

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Solution

The fourth proportional to 7,224.84, 10,836.03 and 2,029.50 is: 3,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.84 : 10,836.03 = 2,029.50 : x
  2. Step 2: Convert to fraction form
    7,224.84/10,836.03 = 2,029.50/x
  3. Step 3: Cross multiply
    7,224.84x = 10,836.03 × 2,029.50
  4. Step 4: Simplify right side
    7,224.84x = 21,991,722.89
  5. Step 5: Solve for x
    x = 21,991,722.89/7,224.84
  6. Step 6: Final answer
    x = 3,043.90

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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.