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Finding the Fourth Proportional to 7,694.10, 11,541.15 and 6,722.10

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Solution

The fourth proportional to 7,694.10, 11,541.15 and 6,722.10 is: 10,083.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.10 : 11,541.15 = 6,722.10 : x
  2. Step 2: Convert to fraction form
    7,694.10/11,541.15 = 6,722.10/x
  3. Step 3: Cross multiply
    7,694.10x = 11,541.15 × 6,722.10
  4. Step 4: Simplify right side
    7,694.10x = 77,580,764.42
  5. Step 5: Solve for x
    x = 77,580,764.42/7,694.10
  6. Step 6: Final answer
    x = 10,083.15

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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.