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Finding the Fourth Proportional to 14,508, 21,762 and 6,300

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Solution

The fourth proportional to 14,508, 21,762 and 6,300 is: 9,450

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,508 : 21,762 = 6,300 : x
  2. Step 2: Convert to fraction form
    14,508/21,762 = 6,300/x
  3. Step 3: Cross multiply
    14,508x = 21,762 × 6,300
  4. Step 4: Simplify right side
    14,508x = 137,100,600
  5. Step 5: Solve for x
    x = 137,100,600/14,508
  6. Step 6: Final answer
    x = 9,450

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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.