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Finding the Fourth Proportional to 9,891, 14,833.46 and 6,513.64

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Solution

The fourth proportional to 9,891, 14,833.46 and 6,513.64 is: 9,768.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891 : 14,833.46 = 6,513.64 : x
  2. Step 2: Convert to fraction form
    9,891/14,833.46 = 6,513.64/x
  3. Step 3: Cross multiply
    9,891x = 14,833.46 × 6,513.64
  4. Step 4: Simplify right side
    9,891x = 96,619,797.59
  5. Step 5: Solve for x
    x = 96,619,797.59/9,891
  6. Step 6: Final answer
    x = 9,768.46

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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.