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Finding the Fourth Proportional to 9,761.97, 14,643.86 and 3,188.19

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Solution

The fourth proportional to 9,761.97, 14,643.86 and 3,188.19 is: 4,782.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.97 : 14,643.86 = 3,188.19 : x
  2. Step 2: Convert to fraction form
    9,761.97/14,643.86 = 3,188.19/x
  3. Step 3: Cross multiply
    9,761.97x = 14,643.86 × 3,188.19
  4. Step 4: Simplify right side
    9,761.97x = 46,687,392.07
  5. Step 5: Solve for x
    x = 46,687,392.07/9,761.97
  6. Step 6: Final answer
    x = 4,782.58

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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.