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Finding the Fourth Proportional to 11,670.87, 16,024.44 and 11,366.42

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Solution

The fourth proportional to 11,670.87, 16,024.44 and 11,366.42 is: 15,606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.87 : 16,024.44 = 11,366.42 : x
  2. Step 2: Convert to fraction form
    11,670.87/16,024.44 = 11,366.42/x
  3. Step 3: Cross multiply
    11,670.87x = 16,024.44 × 11,366.42
  4. Step 4: Simplify right side
    11,670.87x = 182,140,435.18
  5. Step 5: Solve for x
    x = 182,140,435.18/11,670.87
  6. Step 6: Final answer
    x = 15,606.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.