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Finding the Fourth Proportional to 10,367.33, 15,550.99 and 7,742.93

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Solution

The fourth proportional to 10,367.33, 15,550.99 and 7,742.93 is: 11,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.33 : 15,550.99 = 7,742.93 : x
  2. Step 2: Convert to fraction form
    10,367.33/15,550.99 = 7,742.93/x
  3. Step 3: Cross multiply
    10,367.33x = 15,550.99 × 7,742.93
  4. Step 4: Simplify right side
    10,367.33x = 120,410,129.89
  5. Step 5: Solve for x
    x = 120,410,129.89/10,367.33
  6. Step 6: Final answer
    x = 11,614.39

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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.