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Finding the Fourth Proportional to 6,810.76, 10,209.97 and 4,731.74

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Solution

The fourth proportional to 6,810.76, 10,209.97 and 4,731.74 is: 7,093.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.76 : 10,209.97 = 4,731.74 : x
  2. Step 2: Convert to fraction form
    6,810.76/10,209.97 = 4,731.74/x
  3. Step 3: Cross multiply
    6,810.76x = 10,209.97 × 4,731.74
  4. Step 4: Simplify right side
    6,810.76x = 48,310,923.45
  5. Step 5: Solve for x
    x = 48,310,923.45/6,810.76
  6. Step 6: Final answer
    x = 7,093.32

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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.