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Finding the Fourth Proportional to 8,653.13, 11,911.96 and 7,768.61

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Solution

The fourth proportional to 8,653.13, 11,911.96 and 7,768.61 is: 10,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.13 : 11,911.96 = 7,768.61 : x
  2. Step 2: Convert to fraction form
    8,653.13/11,911.96 = 7,768.61/x
  3. Step 3: Cross multiply
    8,653.13x = 11,911.96 × 7,768.61
  4. Step 4: Simplify right side
    8,653.13x = 92,539,371.58
  5. Step 5: Solve for x
    x = 92,539,371.58/8,653.13
  6. Step 6: Final answer
    x = 10,694.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.