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Finding the Fourth Proportional to 16,362, 24,543 and 4,050

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Solution

The fourth proportional to 16,362, 24,543 and 4,050 is: 6,075

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,362 : 24,543 = 4,050 : x
  2. Step 2: Convert to fraction form
    16,362/24,543 = 4,050/x
  3. Step 3: Cross multiply
    16,362x = 24,543 × 4,050
  4. Step 4: Simplify right side
    16,362x = 99,399,150
  5. Step 5: Solve for x
    x = 99,399,150/16,362
  6. Step 6: Final answer
    x = 6,075

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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.