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Finding the Fourth Proportional to 6,433, 9,649.50 and 2,329.96

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Solution

The fourth proportional to 6,433, 9,649.50 and 2,329.96 is: 3,494.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433 : 9,649.50 = 2,329.96 : x
  2. Step 2: Convert to fraction form
    6,433/9,649.50 = 2,329.96/x
  3. Step 3: Cross multiply
    6,433x = 9,649.50 × 2,329.96
  4. Step 4: Simplify right side
    6,433x = 22,482,949.02
  5. Step 5: Solve for x
    x = 22,482,949.02/6,433
  6. Step 6: Final answer
    x = 3,494.94

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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.