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Finding the Fourth Proportional to 6,527.83, 9,793.43 and 2,829.20

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Solution

The fourth proportional to 6,527.83, 9,793.43 and 2,829.20 is: 4,244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.83 : 9,793.43 = 2,829.20 : x
  2. Step 2: Convert to fraction form
    6,527.83/9,793.43 = 2,829.20/x
  3. Step 3: Cross multiply
    6,527.83x = 9,793.43 × 2,829.20
  4. Step 4: Simplify right side
    6,527.83x = 27,707,558.01
  5. Step 5: Solve for x
    x = 27,707,558.01/6,527.83
  6. Step 6: Final answer
    x = 4,244.53

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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.