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Finding the Fourth Proportional to 13,873.82, 19,142.88 and 7,903.85

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Solution

The fourth proportional to 13,873.82, 19,142.88 and 7,903.85 is: 10,905.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.82 : 19,142.88 = 7,903.85 : x
  2. Step 2: Convert to fraction form
    13,873.82/19,142.88 = 7,903.85/x
  3. Step 3: Cross multiply
    13,873.82x = 19,142.88 × 7,903.85
  4. Step 4: Simplify right side
    13,873.82x = 151,302,452.09
  5. Step 5: Solve for x
    x = 151,302,452.09/13,873.82
  6. Step 6: Final answer
    x = 10,905.61

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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.