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Finding the Fourth Proportional to 8,460.91, 11,664.87 and 6,942.91

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Solution

The fourth proportional to 8,460.91, 11,664.87 and 6,942.91 is: 9,572.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.91 : 11,664.87 = 6,942.91 : x
  2. Step 2: Convert to fraction form
    8,460.91/11,664.87 = 6,942.91/x
  3. Step 3: Cross multiply
    8,460.91x = 11,664.87 × 6,942.91
  4. Step 4: Simplify right side
    8,460.91x = 80,988,142.57
  5. Step 5: Solve for x
    x = 80,988,142.57/8,460.91
  6. Step 6: Final answer
    x = 9,572.04

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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.