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Finding the Fourth Proportional to 10,589, 15,883.50 and 4,433

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Solution

The fourth proportional to 10,589, 15,883.50 and 4,433 is: 6,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589 : 15,883.50 = 4,433 : x
  2. Step 2: Convert to fraction form
    10,589/15,883.50 = 4,433/x
  3. Step 3: Cross multiply
    10,589x = 15,883.50 × 4,433
  4. Step 4: Simplify right side
    10,589x = 70,411,555.50
  5. Step 5: Solve for x
    x = 70,411,555.50/10,589
  6. Step 6: Final answer
    x = 6,649.50

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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.