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Finding the Fourth Proportional to 6,874.80, 10,356 and 6,277.02

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Solution

The fourth proportional to 6,874.80, 10,356 and 6,277.02 is: 9,455.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.80 : 10,356 = 6,277.02 : x
  2. Step 2: Convert to fraction form
    6,874.80/10,356 = 6,277.02/x
  3. Step 3: Cross multiply
    6,874.80x = 10,356 × 6,277.02
  4. Step 4: Simplify right side
    6,874.80x = 65,004,819.12
  5. Step 5: Solve for x
    x = 65,004,819.12/6,874.80
  6. Step 6: Final answer
    x = 9,455.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.