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Finding the Fourth Proportional to 9,699.58, 14,553.69 and 5,081.50

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Solution

The fourth proportional to 9,699.58, 14,553.69 and 5,081.50 is: 7,624.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.58 : 14,553.69 = 5,081.50 : x
  2. Step 2: Convert to fraction form
    9,699.58/14,553.69 = 5,081.50/x
  3. Step 3: Cross multiply
    9,699.58x = 14,553.69 × 5,081.50
  4. Step 4: Simplify right side
    9,699.58x = 73,954,575.74
  5. Step 5: Solve for x
    x = 73,954,575.74/9,699.58
  6. Step 6: Final answer
    x = 7,624.51

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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.