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Finding the Fourth Proportional to 13,783.72, 20,659.17 and 9,601.08

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Solution

The fourth proportional to 13,783.72, 20,659.17 and 9,601.08 is: 14,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.72 : 20,659.17 = 9,601.08 : x
  2. Step 2: Convert to fraction form
    13,783.72/20,659.17 = 9,601.08/x
  3. Step 3: Cross multiply
    13,783.72x = 20,659.17 × 9,601.08
  4. Step 4: Simplify right side
    13,783.72x = 198,350,343.90
  5. Step 5: Solve for x
    x = 198,350,343.90/13,783.72
  6. Step 6: Final answer
    x = 14,390.19

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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.