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Finding the Fourth Proportional to 10,759, 16,144.98 and 4,603

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Solution

The fourth proportional to 10,759, 16,144.98 and 4,603 is: 6,907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759 : 16,144.98 = 4,603 : x
  2. Step 2: Convert to fraction form
    10,759/16,144.98 = 4,603/x
  3. Step 3: Cross multiply
    10,759x = 16,144.98 × 4,603
  4. Step 4: Simplify right side
    10,759x = 74,315,342.94
  5. Step 5: Solve for x
    x = 74,315,342.94/10,759
  6. Step 6: Final answer
    x = 6,907.27

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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.