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Finding the Fourth Proportional to 6,702.18, 9,246.06 and 4,712.10

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Solution

The fourth proportional to 6,702.18, 9,246.06 and 4,712.10 is: 6,500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.18 : 9,246.06 = 4,712.10 : x
  2. Step 2: Convert to fraction form
    6,702.18/9,246.06 = 4,712.10/x
  3. Step 3: Cross multiply
    6,702.18x = 9,246.06 × 4,712.10
  4. Step 4: Simplify right side
    6,702.18x = 43,568,359.33
  5. Step 5: Solve for x
    x = 43,568,359.33/6,702.18
  6. Step 6: Final answer
    x = 6,500.63

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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.