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Finding the Fourth Proportional to 6,806.08, 10,210 and 4,693.78

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Solution

The fourth proportional to 6,806.08, 10,210 and 4,693.78 is: 7,041.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.08 : 10,210 = 4,693.78 : x
  2. Step 2: Convert to fraction form
    6,806.08/10,210 = 4,693.78/x
  3. Step 3: Cross multiply
    6,806.08x = 10,210 × 4,693.78
  4. Step 4: Simplify right side
    6,806.08x = 47,923,493.80
  5. Step 5: Solve for x
    x = 47,923,493.80/6,806.08
  6. Step 6: Final answer
    x = 7,041.28

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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.