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Finding the Fourth Proportional to 10,195.67, 14,069.79 and 5,719.32

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Solution

The fourth proportional to 10,195.67, 14,069.79 and 5,719.32 is: 7,892.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.67 : 14,069.79 = 5,719.32 : x
  2. Step 2: Convert to fraction form
    10,195.67/14,069.79 = 5,719.32/x
  3. Step 3: Cross multiply
    10,195.67x = 14,069.79 × 5,719.32
  4. Step 4: Simplify right side
    10,195.67x = 80,469,631.34
  5. Step 5: Solve for x
    x = 80,469,631.34/10,195.67
  6. Step 6: Final answer
    x = 7,892.53

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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.