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Finding the Fourth Proportional to 13,984.63, 20,976.96 and 9,588.76

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Solution

The fourth proportional to 13,984.63, 20,976.96 and 9,588.76 is: 14,383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.63 : 20,976.96 = 9,588.76 : x
  2. Step 2: Convert to fraction form
    13,984.63/20,976.96 = 9,588.76/x
  3. Step 3: Cross multiply
    13,984.63x = 20,976.96 × 9,588.76
  4. Step 4: Simplify right side
    13,984.63x = 201,143,082.54
  5. Step 5: Solve for x
    x = 201,143,082.54/13,984.63
  6. Step 6: Final answer
    x = 14,383.15

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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.