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Finding the Fourth Proportional to 6,930.68, 10,378.28 and 4,583.49

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Solution

The fourth proportional to 6,930.68, 10,378.28 and 4,583.49 is: 6,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.68 : 10,378.28 = 4,583.49 : x
  2. Step 2: Convert to fraction form
    6,930.68/10,378.28 = 4,583.49/x
  3. Step 3: Cross multiply
    6,930.68x = 10,378.28 × 4,583.49
  4. Step 4: Simplify right side
    6,930.68x = 47,568,719.68
  5. Step 5: Solve for x
    x = 47,568,719.68/6,930.68
  6. Step 6: Final answer
    x = 6,863.50

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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.