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Finding the Fourth Proportional to 14,022.36, 19,350.96 and 7,734.96

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Solution

The fourth proportional to 14,022.36, 19,350.96 and 7,734.96 is: 10,674.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022.36 : 19,350.96 = 7,734.96 : x
  2. Step 2: Convert to fraction form
    14,022.36/19,350.96 = 7,734.96/x
  3. Step 3: Cross multiply
    14,022.36x = 19,350.96 × 7,734.96
  4. Step 4: Simplify right side
    14,022.36x = 149,678,901.56
  5. Step 5: Solve for x
    x = 149,678,901.56/14,022.36
  6. Step 6: Final answer
    x = 10,674.30

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Half scale
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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.