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Finding the Fourth Proportional to 14,251.68, 19,667.27 and 7,964.06

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Solution

The fourth proportional to 14,251.68, 19,667.27 and 7,964.06 is: 10,990.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,251.68 : 19,667.27 = 7,964.06 : x
  2. Step 2: Convert to fraction form
    14,251.68/19,667.27 = 7,964.06/x
  3. Step 3: Cross multiply
    14,251.68x = 19,667.27 × 7,964.06
  4. Step 4: Simplify right side
    14,251.68x = 156,631,318.32
  5. Step 5: Solve for x
    x = 156,631,318.32/14,251.68
  6. Step 6: Final answer
    x = 10,990.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.