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Finding the Fourth Proportional to 6,769.50, 10,154.24 and 4,460.46

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Solution

The fourth proportional to 6,769.50, 10,154.24 and 4,460.46 is: 6,690.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.50 : 10,154.24 = 4,460.46 : x
  2. Step 2: Convert to fraction form
    6,769.50/10,154.24 = 4,460.46/x
  3. Step 3: Cross multiply
    6,769.50x = 10,154.24 × 4,460.46
  4. Step 4: Simplify right side
    6,769.50x = 45,292,581.35
  5. Step 5: Solve for x
    x = 45,292,581.35/6,769.50
  6. Step 6: Final answer
    x = 6,690.68

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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.