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Finding the Fourth Proportional to 14,313.54, 19,753.70 and 7,942.22

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Solution

The fourth proportional to 14,313.54, 19,753.70 and 7,942.22 is: 10,960.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,313.54 : 19,753.70 = 7,942.22 : x
  2. Step 2: Convert to fraction form
    14,313.54/19,753.70 = 7,942.22/x
  3. Step 3: Cross multiply
    14,313.54x = 19,753.70 × 7,942.22
  4. Step 4: Simplify right side
    14,313.54x = 156,888,231.21
  5. Step 5: Solve for x
    x = 156,888,231.21/14,313.54
  6. Step 6: Final answer
    x = 10,960.83

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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.