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Finding the Fourth Proportional to 13,838.40, 20,754.40 and 4,601.92

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Solution

The fourth proportional to 13,838.40, 20,754.40 and 4,601.92 is: 6,901.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.40 : 20,754.40 = 4,601.92 : x
  2. Step 2: Convert to fraction form
    13,838.40/20,754.40 = 4,601.92/x
  3. Step 3: Cross multiply
    13,838.40x = 20,754.40 × 4,601.92
  4. Step 4: Simplify right side
    13,838.40x = 95,510,088.45
  5. Step 5: Solve for x
    x = 95,510,088.45/13,838.40
  6. Step 6: Final answer
    x = 6,901.82

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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.