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Finding the Fourth Proportional to 6,827.20, 10,219.20 and 5,358.40

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Solution

The fourth proportional to 6,827.20, 10,219.20 and 5,358.40 is: 8,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.20 : 10,219.20 = 5,358.40 : x
  2. Step 2: Convert to fraction form
    6,827.20/10,219.20 = 5,358.40/x
  3. Step 3: Cross multiply
    6,827.20x = 10,219.20 × 5,358.40
  4. Step 4: Simplify right side
    6,827.20x = 54,758,561.28
  5. Step 5: Solve for x
    x = 54,758,561.28/6,827.20
  6. Step 6: Final answer
    x = 8,020.65

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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.