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Finding the Fourth Proportional to 6,334.28, 9,498.68 and 1,950.76

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Solution

The fourth proportional to 6,334.28, 9,498.68 and 1,950.76 is: 2,925.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.28 : 9,498.68 = 1,950.76 : x
  2. Step 2: Convert to fraction form
    6,334.28/9,498.68 = 1,950.76/x
  3. Step 3: Cross multiply
    6,334.28x = 9,498.68 × 1,950.76
  4. Step 4: Simplify right side
    6,334.28x = 18,529,611.50
  5. Step 5: Solve for x
    x = 18,529,611.50/6,334.28
  6. Step 6: Final answer
    x = 2,925.29

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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.