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Finding the Fourth Proportional to 6,866.76, 9,476.12 and 3,722.94

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Solution

The fourth proportional to 6,866.76, 9,476.12 and 3,722.94 is: 5,137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.76 : 9,476.12 = 3,722.94 : x
  2. Step 2: Convert to fraction form
    6,866.76/9,476.12 = 3,722.94/x
  3. Step 3: Cross multiply
    6,866.76x = 9,476.12 × 3,722.94
  4. Step 4: Simplify right side
    6,866.76x = 35,279,026.19
  5. Step 5: Solve for x
    x = 35,279,026.19/6,866.76
  6. Step 6: Final answer
    x = 5,137.65

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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.