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Finding the Fourth Proportional to 11,473.87, 17,216.07 and 6,803.14

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Solution

The fourth proportional to 11,473.87, 17,216.07 and 6,803.14 is: 10,207.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473.87 : 17,216.07 = 6,803.14 : x
  2. Step 2: Convert to fraction form
    11,473.87/17,216.07 = 6,803.14/x
  3. Step 3: Cross multiply
    11,473.87x = 17,216.07 × 6,803.14
  4. Step 4: Simplify right side
    11,473.87x = 117,123,334.46
  5. Step 5: Solve for x
    x = 117,123,334.46/11,473.87
  6. Step 6: Final answer
    x = 10,207.83

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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.