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Finding the Fourth Proportional to 6,076.42, 9,114.98 and 1,916.56

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Solution

The fourth proportional to 6,076.42, 9,114.98 and 1,916.56 is: 2,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.42 : 9,114.98 = 1,916.56 : x
  2. Step 2: Convert to fraction form
    6,076.42/9,114.98 = 1,916.56/x
  3. Step 3: Cross multiply
    6,076.42x = 9,114.98 × 1,916.56
  4. Step 4: Simplify right side
    6,076.42x = 17,469,406.07
  5. Step 5: Solve for x
    x = 17,469,406.07/6,076.42
  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.