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Finding the Fourth Proportional to 10,611.15, 14,642.96 and 5,895.74

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Solution

The fourth proportional to 10,611.15, 14,642.96 and 5,895.74 is: 8,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.15 : 14,642.96 = 5,895.74 : x
  2. Step 2: Convert to fraction form
    10,611.15/14,642.96 = 5,895.74/x
  3. Step 3: Cross multiply
    10,611.15x = 14,642.96 × 5,895.74
  4. Step 4: Simplify right side
    10,611.15x = 86,330,982.30
  5. Step 5: Solve for x
    x = 86,330,982.30/10,611.15
  6. Step 6: Final answer
    x = 8,135.87

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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.