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Finding the Fourth Proportional to 10,769.04, 16,151.94 and 6,900.48

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Solution

The fourth proportional to 10,769.04, 16,151.94 and 6,900.48 is: 10,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.04 : 16,151.94 = 6,900.48 : x
  2. Step 2: Convert to fraction form
    10,769.04/16,151.94 = 6,900.48/x
  3. Step 3: Cross multiply
    10,769.04x = 16,151.94 × 6,900.48
  4. Step 4: Simplify right side
    10,769.04x = 111,456,138.93
  5. Step 5: Solve for x
    x = 111,456,138.93/10,769.04
  6. Step 6: Final answer
    x = 10,349.68

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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.