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Finding the Fourth Proportional to 14,510, 21,765.24 and 6,302

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Solution

The fourth proportional to 14,510, 21,765.24 and 6,302 is: 9,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510 : 21,765.24 = 6,302 : x
  2. Step 2: Convert to fraction form
    14,510/21,765.24 = 6,302/x
  3. Step 3: Cross multiply
    14,510x = 21,765.24 × 6,302
  4. Step 4: Simplify right side
    14,510x = 137,164,542.48
  5. Step 5: Solve for x
    x = 137,164,542.48/14,510
  6. Step 6: Final answer
    x = 9,453.10

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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.