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Finding the Fourth Proportional to 9,799.68, 14,699.52 and 6,890.97

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Solution

The fourth proportional to 9,799.68, 14,699.52 and 6,890.97 is: 10,336.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.68 : 14,699.52 = 6,890.97 : x
  2. Step 2: Convert to fraction form
    9,799.68/14,699.52 = 6,890.97/x
  3. Step 3: Cross multiply
    9,799.68x = 14,699.52 × 6,890.97
  4. Step 4: Simplify right side
    9,799.68x = 101,293,951.33
  5. Step 5: Solve for x
    x = 101,293,951.33/9,799.68
  6. Step 6: Final answer
    x = 10,336.46

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1.5x scale

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.