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Finding the Fourth Proportional to 15,341.82, 22,993.89 and 7,942.06

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Solution

The fourth proportional to 15,341.82, 22,993.89 and 7,942.06 is: 11,903.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,341.82 : 22,993.89 = 7,942.06 : x
  2. Step 2: Convert to fraction form
    15,341.82/22,993.89 = 7,942.06/x
  3. Step 3: Cross multiply
    15,341.82x = 22,993.89 × 7,942.06
  4. Step 4: Simplify right side
    15,341.82x = 182,618,814.30
  5. Step 5: Solve for x
    x = 182,618,814.30/15,341.82
  6. Step 6: Final answer
    x = 11,903.33

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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.