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Finding the Fourth Proportional to 10,497.48, 14,469.64 and 7,093.43

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Solution

The fourth proportional to 10,497.48, 14,469.64 and 7,093.43 is: 9,777.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.48 : 14,469.64 = 7,093.43 : x
  2. Step 2: Convert to fraction form
    10,497.48/14,469.64 = 7,093.43/x
  3. Step 3: Cross multiply
    10,497.48x = 14,469.64 × 7,093.43
  4. Step 4: Simplify right side
    10,497.48x = 102,639,288.38
  5. Step 5: Solve for x
    x = 102,639,288.38/10,497.48
  6. Step 6: Final answer
    x = 9,777.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.