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Finding the Fourth Proportional to 6,866.78, 9,476.16 and 3,722.96

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Solution

The fourth proportional to 6,866.78, 9,476.16 and 3,722.96 is: 5,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.78 : 9,476.16 = 3,722.96 : x
  2. Step 2: Convert to fraction form
    6,866.78/9,476.16 = 3,722.96/x
  3. Step 3: Cross multiply
    6,866.78x = 9,476.16 × 3,722.96
  4. Step 4: Simplify right side
    6,866.78x = 35,279,364.63
  5. Step 5: Solve for x
    x = 35,279,364.63/6,866.78
  6. Step 6: Final answer
    x = 5,137.69

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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.