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Finding the Fourth Proportional to 15,694.72, 23,544 and 6,463.36

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Solution

The fourth proportional to 15,694.72, 23,544 and 6,463.36 is: 9,695.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,694.72 : 23,544 = 6,463.36 : x
  2. Step 2: Convert to fraction form
    15,694.72/23,544 = 6,463.36/x
  3. Step 3: Cross multiply
    15,694.72x = 23,544 × 6,463.36
  4. Step 4: Simplify right side
    15,694.72x = 152,173,347.84
  5. Step 5: Solve for x
    x = 152,173,347.84/15,694.72
  6. Step 6: Final answer
    x = 9,695.83

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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.