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Finding the Fourth Proportional to 6,710.60, 9,261.78 and 3,917.48

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Solution

The fourth proportional to 6,710.60, 9,261.78 and 3,917.48 is: 5,406.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.60 : 9,261.78 = 3,917.48 : x
  2. Step 2: Convert to fraction form
    6,710.60/9,261.78 = 3,917.48/x
  3. Step 3: Cross multiply
    6,710.60x = 9,261.78 × 3,917.48
  4. Step 4: Simplify right side
    6,710.60x = 36,282,837.91
  5. Step 5: Solve for x
    x = 36,282,837.91/6,710.60
  6. Step 6: Final answer
    x = 5,406.79

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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.