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Finding the Fourth Proportional to 10,611.56, 14,644.44 and 5,895.86

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Solution

The fourth proportional to 10,611.56, 14,644.44 and 5,895.86 is: 8,136.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.56 : 14,644.44 = 5,895.86 : x
  2. Step 2: Convert to fraction form
    10,611.56/14,644.44 = 5,895.86/x
  3. Step 3: Cross multiply
    10,611.56x = 14,644.44 × 5,895.86
  4. Step 4: Simplify right side
    10,611.56x = 86,341,568.02
  5. Step 5: Solve for x
    x = 86,341,568.02/10,611.56
  6. Step 6: Final answer
    x = 8,136.56

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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.