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Finding the Fourth Proportional to 7,092.72, 9,746.84 and 6,767.49

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Solution

The fourth proportional to 7,092.72, 9,746.84 and 6,767.49 is: 9,299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.72 : 9,746.84 = 6,767.49 : x
  2. Step 2: Convert to fraction form
    7,092.72/9,746.84 = 6,767.49/x
  3. Step 3: Cross multiply
    7,092.72x = 9,746.84 × 6,767.49
  4. Step 4: Simplify right side
    7,092.72x = 65,961,642.23
  5. Step 5: Solve for x
    x = 65,961,642.23/7,092.72
  6. Step 6: Final answer
    x = 9,299.91

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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.