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Finding the Fourth Proportional to 6,894.37, 10,347 and 2,513.08

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Solution

The fourth proportional to 6,894.37, 10,347 and 2,513.08 is: 3,771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.37 : 10,347 = 2,513.08 : x
  2. Step 2: Convert to fraction form
    6,894.37/10,347 = 2,513.08/x
  3. Step 3: Cross multiply
    6,894.37x = 10,347 × 2,513.08
  4. Step 4: Simplify right side
    6,894.37x = 26,002,838.76
  5. Step 5: Solve for x
    x = 26,002,838.76/6,894.37
  6. Step 6: Final answer
    x = 3,771.60

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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.