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Finding the Fourth Proportional to 6,276, 9,406.64 and 2,573.28

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Solution

The fourth proportional to 6,276, 9,406.64 and 2,573.28 is: 3,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276 : 9,406.64 = 2,573.28 : x
  2. Step 2: Convert to fraction form
    6,276/9,406.64 = 2,573.28/x
  3. Step 3: Cross multiply
    6,276x = 9,406.64 × 2,573.28
  4. Step 4: Simplify right side
    6,276x = 24,205,918.58
  5. Step 5: Solve for x
    x = 24,205,918.58/6,276
  6. Step 6: Final answer
    x = 3,856.90

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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.