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Finding the Fourth Proportional to 6,206.10, 9,293.74 and 4,348.50

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Solution

The fourth proportional to 6,206.10, 9,293.74 and 4,348.50 is: 6,511.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.10 : 9,293.74 = 4,348.50 : x
  2. Step 2: Convert to fraction form
    6,206.10/9,293.74 = 4,348.50/x
  3. Step 3: Cross multiply
    6,206.10x = 9,293.74 × 4,348.50
  4. Step 4: Simplify right side
    6,206.10x = 40,413,828.39
  5. Step 5: Solve for x
    x = 40,413,828.39/6,206.10
  6. Step 6: Final answer
    x = 6,511.95

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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.