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Finding the Fourth Proportional to 9,805.31, 14,699.74 and 6,835.04

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Solution

The fourth proportional to 9,805.31, 14,699.74 and 6,835.04 is: 10,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.31 : 14,699.74 = 6,835.04 : x
  2. Step 2: Convert to fraction form
    9,805.31/14,699.74 = 6,835.04/x
  3. Step 3: Cross multiply
    9,805.31x = 14,699.74 × 6,835.04
  4. Step 4: Simplify right side
    9,805.31x = 100,473,237.39
  5. Step 5: Solve for x
    x = 100,473,237.39/9,805.31
  6. Step 6: Final answer
    x = 10,246.82

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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.