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Finding the Fourth Proportional to 10,179.94, 14,048.94 and 5,703.97

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Solution

The fourth proportional to 10,179.94, 14,048.94 and 5,703.97 is: 7,871.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,179.94 : 14,048.94 = 5,703.97 : x
  2. Step 2: Convert to fraction form
    10,179.94/14,048.94 = 5,703.97/x
  3. Step 3: Cross multiply
    10,179.94x = 14,048.94 × 5,703.97
  4. Step 4: Simplify right side
    10,179.94x = 80,134,732.29
  5. Step 5: Solve for x
    x = 80,134,732.29/10,179.94
  6. Step 6: Final answer
    x = 7,871.83

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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.