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Finding the Fourth Proportional to 15,835, 23,752.50 and 6,601

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Solution

The fourth proportional to 15,835, 23,752.50 and 6,601 is: 9,901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,835 : 23,752.50 = 6,601 : x
  2. Step 2: Convert to fraction form
    15,835/23,752.50 = 6,601/x
  3. Step 3: Cross multiply
    15,835x = 23,752.50 × 6,601
  4. Step 4: Simplify right side
    15,835x = 156,790,252.50
  5. Step 5: Solve for x
    x = 156,790,252.50/15,835
  6. Step 6: Final answer
    x = 9,901.50

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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.