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Finding the Fourth Proportional to 6,510.38, 8,979.12 and 4,209.98

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Solution

The fourth proportional to 6,510.38, 8,979.12 and 4,209.98 is: 5,806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.38 : 8,979.12 = 4,209.98 : x
  2. Step 2: Convert to fraction form
    6,510.38/8,979.12 = 4,209.98/x
  3. Step 3: Cross multiply
    6,510.38x = 8,979.12 × 4,209.98
  4. Step 4: Simplify right side
    6,510.38x = 37,801,870.72
  5. Step 5: Solve for x
    x = 37,801,870.72/6,510.38
  6. Step 6: Final answer
    x = 5,806.40

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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.