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Finding the Fourth Proportional to 10,666, 14,719.10 and 5,950.56

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Solution

The fourth proportional to 10,666, 14,719.10 and 5,950.56 is: 8,211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666 : 14,719.10 = 5,950.56 : x
  2. Step 2: Convert to fraction form
    10,666/14,719.10 = 5,950.56/x
  3. Step 3: Cross multiply
    10,666x = 14,719.10 × 5,950.56
  4. Step 4: Simplify right side
    10,666x = 87,586,887.70
  5. Step 5: Solve for x
    x = 87,586,887.70/10,666
  6. Step 6: Final answer
    x = 8,211.78

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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.