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Finding the Fourth Proportional to 10,750.68, 14,837.94 and 6,769.08

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Solution

The fourth proportional to 10,750.68, 14,837.94 and 6,769.08 is: 9,342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,750.68 : 14,837.94 = 6,769.08 : x
  2. Step 2: Convert to fraction form
    10,750.68/14,837.94 = 6,769.08/x
  3. Step 3: Cross multiply
    10,750.68x = 14,837.94 × 6,769.08
  4. Step 4: Simplify right side
    10,750.68x = 100,439,202.90
  5. Step 5: Solve for x
    x = 100,439,202.90/10,750.68
  6. Step 6: Final answer
    x = 9,342.59

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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.