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Finding the Fourth Proportional to 6,078.30, 9,114.84 and 1,917.18

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Solution

The fourth proportional to 6,078.30, 9,114.84 and 1,917.18 is: 2,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.30 : 9,114.84 = 1,917.18 : x
  2. Step 2: Convert to fraction form
    6,078.30/9,114.84 = 1,917.18/x
  3. Step 3: Cross multiply
    6,078.30x = 9,114.84 × 1,917.18
  4. Step 4: Simplify right side
    6,078.30x = 17,474,788.95
  5. Step 5: Solve for x
    x = 17,474,788.95/6,078.30
  6. Step 6: Final answer
    x = 2,874.95

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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.