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Finding the Fourth Proportional to 13,213, 18,234.02 and 7,244.68

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Solution

The fourth proportional to 13,213, 18,234.02 and 7,244.68 is: 9,997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213 : 18,234.02 = 7,244.68 : x
  2. Step 2: Convert to fraction form
    13,213/18,234.02 = 7,244.68/x
  3. Step 3: Cross multiply
    13,213x = 18,234.02 × 7,244.68
  4. Step 4: Simplify right side
    13,213x = 132,099,640.01
  5. Step 5: Solve for x
    x = 132,099,640.01/13,213
  6. Step 6: Final answer
    x = 9,997.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.