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Finding the Fourth Proportional to 10,000.44, 13,800.63 and 5,524.20

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Solution

The fourth proportional to 10,000.44, 13,800.63 and 5,524.20 is: 7,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.44 : 13,800.63 = 5,524.20 : x
  2. Step 2: Convert to fraction form
    10,000.44/13,800.63 = 5,524.20/x
  3. Step 3: Cross multiply
    10,000.44x = 13,800.63 × 5,524.20
  4. Step 4: Simplify right side
    10,000.44x = 76,237,440.25
  5. Step 5: Solve for x
    x = 76,237,440.25/10,000.44
  6. Step 6: Final answer
    x = 7,623.41

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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.