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Finding the Fourth Proportional to 9,759.92, 14,641.92 and 3,186.48

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Solution

The fourth proportional to 9,759.92, 14,641.92 and 3,186.48 is: 4,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.92 : 14,641.92 = 3,186.48 : x
  2. Step 2: Convert to fraction form
    9,759.92/14,641.92 = 3,186.48/x
  3. Step 3: Cross multiply
    9,759.92x = 14,641.92 × 3,186.48
  4. Step 4: Simplify right side
    9,759.92x = 46,656,185.24
  5. Step 5: Solve for x
    x = 46,656,185.24/9,759.92
  6. Step 6: Final answer
    x = 4,780.39

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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.