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Finding the Fourth Proportional to 14,706.09, 22,063.29 and 5,947.14

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Solution

The fourth proportional to 14,706.09, 22,063.29 and 5,947.14 is: 8,922.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.09 : 22,063.29 = 5,947.14 : x
  2. Step 2: Convert to fraction form
    14,706.09/22,063.29 = 5,947.14/x
  3. Step 3: Cross multiply
    14,706.09x = 22,063.29 × 5,947.14
  4. Step 4: Simplify right side
    14,706.09x = 131,213,474.49
  5. Step 5: Solve for x
    x = 131,213,474.49/14,706.09
  6. Step 6: Final answer
    x = 8,922.39

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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.