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Finding the Fourth Proportional to 6,428, 9,641.96 and 5,137.64

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Solution

The fourth proportional to 6,428, 9,641.96 and 5,137.64 is: 7,706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428 : 9,641.96 = 5,137.64 : x
  2. Step 2: Convert to fraction form
    6,428/9,641.96 = 5,137.64/x
  3. Step 3: Cross multiply
    6,428x = 9,641.96 × 5,137.64
  4. Step 4: Simplify right side
    6,428x = 49,536,919.37
  5. Step 5: Solve for x
    x = 49,536,919.37/6,428
  6. Step 6: Final answer
    x = 7,706.43

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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.