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Finding the Fourth Proportional to 6,710.74, 9,260.14 and 3,917.86

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Solution

The fourth proportional to 6,710.74, 9,260.14 and 3,917.86 is: 5,406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.74 : 9,260.14 = 3,917.86 : x
  2. Step 2: Convert to fraction form
    6,710.74/9,260.14 = 3,917.86/x
  3. Step 3: Cross multiply
    6,710.74x = 9,260.14 × 3,917.86
  4. Step 4: Simplify right side
    6,710.74x = 36,279,866.21
  5. Step 5: Solve for x
    x = 36,279,866.21/6,710.74
  6. Step 6: Final answer
    x = 5,406.24

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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.