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Finding the Fourth Proportional to 8,694.74, 11,954.47 and 7,741.64

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Solution

The fourth proportional to 8,694.74, 11,954.47 and 7,741.64 is: 10,644.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.74 : 11,954.47 = 7,741.64 : x
  2. Step 2: Convert to fraction form
    8,694.74/11,954.47 = 7,741.64/x
  3. Step 3: Cross multiply
    8,694.74x = 11,954.47 × 7,741.64
  4. Step 4: Simplify right side
    8,694.74x = 92,547,203.13
  5. Step 5: Solve for x
    x = 92,547,203.13/8,694.74
  6. Step 6: Final answer
    x = 10,644.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.