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Finding the Fourth Proportional to 10,000.67, 13,801.73 and 5,524.81

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Solution

The fourth proportional to 10,000.67, 13,801.73 and 5,524.81 is: 7,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.67 : 13,801.73 = 5,524.81 : x
  2. Step 2: Convert to fraction form
    10,000.67/13,801.73 = 5,524.81/x
  3. Step 3: Cross multiply
    10,000.67x = 13,801.73 × 5,524.81
  4. Step 4: Simplify right side
    10,000.67x = 76,251,873.79
  5. Step 5: Solve for x
    x = 76,251,873.79/10,000.67
  6. Step 6: Final answer
    x = 7,624.68

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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.