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Finding the Fourth Proportional to 9,991.54, 14,992.98 and 6,481

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Solution

The fourth proportional to 9,991.54, 14,992.98 and 6,481 is: 9,725.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.54 : 14,992.98 = 6,481 : x
  2. Step 2: Convert to fraction form
    9,991.54/14,992.98 = 6,481/x
  3. Step 3: Cross multiply
    9,991.54x = 14,992.98 × 6,481
  4. Step 4: Simplify right side
    9,991.54x = 97,169,503.38
  5. Step 5: Solve for x
    x = 97,169,503.38/9,991.54
  6. Step 6: Final answer
    x = 9,725.18

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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.