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Finding the Fourth Proportional to 11,224.10, 16,830.22 and 4,981.40

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Solution

The fourth proportional to 11,224.10, 16,830.22 and 4,981.40 is: 7,469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,224.10 : 16,830.22 = 4,981.40 : x
  2. Step 2: Convert to fraction form
    11,224.10/16,830.22 = 4,981.40/x
  3. Step 3: Cross multiply
    11,224.10x = 16,830.22 × 4,981.40
  4. Step 4: Simplify right side
    11,224.10x = 83,838,057.91
  5. Step 5: Solve for x
    x = 83,838,057.91/11,224.10
  6. Step 6: Final answer
    x = 7,469.47

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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.