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Finding the Fourth Proportional to 15,935, 23,902.50 and 6,701

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Solution

The fourth proportional to 15,935, 23,902.50 and 6,701 is: 10,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,935 : 23,902.50 = 6,701 : x
  2. Step 2: Convert to fraction form
    15,935/23,902.50 = 6,701/x
  3. Step 3: Cross multiply
    15,935x = 23,902.50 × 6,701
  4. Step 4: Simplify right side
    15,935x = 160,170,652.50
  5. Step 5: Solve for x
    x = 160,170,652.50/15,935
  6. Step 6: Final answer
    x = 10,051.50

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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.