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Finding the Fourth Proportional to 6,227.64, 9,341.46 and 5,916.20

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Solution

The fourth proportional to 6,227.64, 9,341.46 and 5,916.20 is: 8,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.64 : 9,341.46 = 5,916.20 : x
  2. Step 2: Convert to fraction form
    6,227.64/9,341.46 = 5,916.20/x
  3. Step 3: Cross multiply
    6,227.64x = 9,341.46 × 5,916.20
  4. Step 4: Simplify right side
    6,227.64x = 55,265,945.65
  5. Step 5: Solve for x
    x = 55,265,945.65/6,227.64
  6. Step 6: Final answer
    x = 8,874.30

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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.