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Finding the Fourth Proportional to 15,864, 23,796.17 and 6,501.62

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Solution

The fourth proportional to 15,864, 23,796.17 and 6,501.62 is: 9,752.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,864 : 23,796.17 = 6,501.62 : x
  2. Step 2: Convert to fraction form
    15,864/23,796.17 = 6,501.62/x
  3. Step 3: Cross multiply
    15,864x = 23,796.17 × 6,501.62
  4. Step 4: Simplify right side
    15,864x = 154,713,503.31
  5. Step 5: Solve for x
    x = 154,713,503.31/15,864
  6. Step 6: Final answer
    x = 9,752.49

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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.