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Finding the Fourth Proportional to 6,901.63, 9,523.95 and 3,917.40

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Solution

The fourth proportional to 6,901.63, 9,523.95 and 3,917.40 is: 5,405.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.63 : 9,523.95 = 3,917.40 : x
  2. Step 2: Convert to fraction form
    6,901.63/9,523.95 = 3,917.40/x
  3. Step 3: Cross multiply
    6,901.63x = 9,523.95 × 3,917.40
  4. Step 4: Simplify right side
    6,901.63x = 37,309,121.73
  5. Step 5: Solve for x
    x = 37,309,121.73/6,901.63
  6. Step 6: Final answer
    x = 5,405.84

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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.