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Finding the Fourth Proportional to 10,769.49, 16,125.42 and 6,323.49

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Solution

The fourth proportional to 10,769.49, 16,125.42 and 6,323.49 is: 9,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.49 : 16,125.42 = 6,323.49 : x
  2. Step 2: Convert to fraction form
    10,769.49/16,125.42 = 6,323.49/x
  3. Step 3: Cross multiply
    10,769.49x = 16,125.42 × 6,323.49
  4. Step 4: Simplify right side
    10,769.49x = 101,968,932.12
  5. Step 5: Solve for x
    x = 101,968,932.12/10,769.49
  6. Step 6: Final answer
    x = 9,468.32

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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.