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Finding the Fourth Proportional to 12,537, 18,805.50 and 4,329

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Solution

The fourth proportional to 12,537, 18,805.50 and 4,329 is: 6,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537 : 18,805.50 = 4,329 : x
  2. Step 2: Convert to fraction form
    12,537/18,805.50 = 4,329/x
  3. Step 3: Cross multiply
    12,537x = 18,805.50 × 4,329
  4. Step 4: Simplify right side
    12,537x = 81,409,009.50
  5. Step 5: Solve for x
    x = 81,409,009.50/12,537
  6. Step 6: Final answer
    x = 6,493.50

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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.