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Finding the Fourth Proportional to 6,838.64, 10,248.60 and 2,937.68

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Solution

The fourth proportional to 6,838.64, 10,248.60 and 2,937.68 is: 4,402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.64 : 10,248.60 = 2,937.68 : x
  2. Step 2: Convert to fraction form
    6,838.64/10,248.60 = 2,937.68/x
  3. Step 3: Cross multiply
    6,838.64x = 10,248.60 × 2,937.68
  4. Step 4: Simplify right side
    6,838.64x = 30,107,107.25
  5. Step 5: Solve for x
    x = 30,107,107.25/6,838.64
  6. Step 6: Final answer
    x = 4,402.50

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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.