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Finding the Fourth Proportional to 14,983.84, 20,675.82 and 9,015.22

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Solution

The fourth proportional to 14,983.84, 20,675.82 and 9,015.22 is: 12,439.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,983.84 : 20,675.82 = 9,015.22 : x
  2. Step 2: Convert to fraction form
    14,983.84/20,675.82 = 9,015.22/x
  3. Step 3: Cross multiply
    14,983.84x = 20,675.82 × 9,015.22
  4. Step 4: Simplify right side
    14,983.84x = 186,397,065.98
  5. Step 5: Solve for x
    x = 186,397,065.98/14,983.84
  6. Step 6: Final answer
    x = 12,439.87

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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.