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Finding the Fourth Proportional to 6,076.94, 9,115.83 and 1,917.14

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Solution

The fourth proportional to 6,076.94, 9,115.83 and 1,917.14 is: 2,875.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.94 : 9,115.83 = 1,917.14 : x
  2. Step 2: Convert to fraction form
    6,076.94/9,115.83 = 1,917.14/x
  3. Step 3: Cross multiply
    6,076.94x = 9,115.83 × 1,917.14
  4. Step 4: Simplify right side
    6,076.94x = 17,476,276.75
  5. Step 5: Solve for x
    x = 17,476,276.75/6,076.94
  6. Step 6: Final answer
    x = 2,875.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.