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Finding the Fourth Proportional to 6,901.94, 9,524.38 and 3,917.72

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Solution

The fourth proportional to 6,901.94, 9,524.38 and 3,917.72 is: 5,406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.94 : 9,524.38 = 3,917.72 : x
  2. Step 2: Convert to fraction form
    6,901.94/9,524.38 = 3,917.72/x
  3. Step 3: Cross multiply
    6,901.94x = 9,524.38 × 3,917.72
  4. Step 4: Simplify right side
    6,901.94x = 37,313,854.01
  5. Step 5: Solve for x
    x = 37,313,854.01/6,901.94
  6. Step 6: Final answer
    x = 5,406.28

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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.