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Finding the Fourth Proportional to 6,076.86, 9,113.97 and 1,916.34

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Solution

The fourth proportional to 6,076.86, 9,113.97 and 1,916.34 is: 2,874.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.86 : 9,113.97 = 1,916.34 : x
  2. Step 2: Convert to fraction form
    6,076.86/9,113.97 = 1,916.34/x
  3. Step 3: Cross multiply
    6,076.86x = 9,113.97 × 1,916.34
  4. Step 4: Simplify right side
    6,076.86x = 17,465,465.27
  5. Step 5: Solve for x
    x = 17,465,465.27/6,076.86
  6. Step 6: Final answer
    x = 2,874.09

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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.