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Finding the Fourth Proportional to 14,942.70, 22,414.05 and 9,110.70

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Solution

The fourth proportional to 14,942.70, 22,414.05 and 9,110.70 is: 13,666.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,942.70 : 22,414.05 = 9,110.70 : x
  2. Step 2: Convert to fraction form
    14,942.70/22,414.05 = 9,110.70/x
  3. Step 3: Cross multiply
    14,942.70x = 22,414.05 × 9,110.70
  4. Step 4: Simplify right side
    14,942.70x = 204,207,685.34
  5. Step 5: Solve for x
    x = 204,207,685.34/14,942.70
  6. Step 6: Final answer
    x = 13,666.05

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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.