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Finding the Fourth Proportional to 11,601.64, 16,014.18 and 8,065

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Solution

The fourth proportional to 11,601.64, 16,014.18 and 8,065 is: 11,132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.64 : 16,014.18 = 8,065 : x
  2. Step 2: Convert to fraction form
    11,601.64/16,014.18 = 8,065/x
  3. Step 3: Cross multiply
    11,601.64x = 16,014.18 × 8,065
  4. Step 4: Simplify right side
    11,601.64x = 129,154,361.70
  5. Step 5: Solve for x
    x = 129,154,361.70/11,601.64
  6. Step 6: Final answer
    x = 11,132.42

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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.