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Finding the Fourth Proportional to 13,601.84, 20,407.92 and 7,023.84

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Solution

The fourth proportional to 13,601.84, 20,407.92 and 7,023.84 is: 10,538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,601.84 : 20,407.92 = 7,023.84 : x
  2. Step 2: Convert to fraction form
    13,601.84/20,407.92 = 7,023.84/x
  3. Step 3: Cross multiply
    13,601.84x = 20,407.92 × 7,023.84
  4. Step 4: Simplify right side
    13,601.84x = 143,341,964.81
  5. Step 5: Solve for x
    x = 143,341,964.81/13,601.84
  6. Step 6: Final answer
    x = 10,538.42

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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.