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Finding the Fourth Proportional to 14,425, 21,637.52 and 6,217

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Solution

The fourth proportional to 14,425, 21,637.52 and 6,217 is: 9,325.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,425 : 21,637.52 = 6,217 : x
  2. Step 2: Convert to fraction form
    14,425/21,637.52 = 6,217/x
  3. Step 3: Cross multiply
    14,425x = 21,637.52 × 6,217
  4. Step 4: Simplify right side
    14,425x = 134,520,461.84
  5. Step 5: Solve for x
    x = 134,520,461.84/14,425
  6. Step 6: Final answer
    x = 9,325.51

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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.