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Finding the Fourth Proportional to 6,643.50, 9,953.37 and 4,298.28

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Solution

The fourth proportional to 6,643.50, 9,953.37 and 4,298.28 is: 6,439.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.50 : 9,953.37 = 4,298.28 : x
  2. Step 2: Convert to fraction form
    6,643.50/9,953.37 = 4,298.28/x
  3. Step 3: Cross multiply
    6,643.50x = 9,953.37 × 4,298.28
  4. Step 4: Simplify right side
    6,643.50x = 42,782,371.20
  5. Step 5: Solve for x
    x = 42,782,371.20/6,643.50
  6. Step 6: Final answer
    x = 6,439.73

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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.