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Finding the Fourth Proportional to 13,833.94, 20,741.08 and 7,596.87

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Solution

The fourth proportional to 13,833.94, 20,741.08 and 7,596.87 is: 11,389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.94 : 20,741.08 = 7,596.87 : x
  2. Step 2: Convert to fraction form
    13,833.94/20,741.08 = 7,596.87/x
  3. Step 3: Cross multiply
    13,833.94x = 20,741.08 × 7,596.87
  4. Step 4: Simplify right side
    13,833.94x = 157,567,288.42
  5. Step 5: Solve for x
    x = 157,567,288.42/13,833.94
  6. Step 6: Final answer
    x = 11,389.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.