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Finding the Fourth Proportional to 6,535.56, 9,793.74 and 5,152.28

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Solution

The fourth proportional to 6,535.56, 9,793.74 and 5,152.28 is: 7,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.56 : 9,793.74 = 5,152.28 : x
  2. Step 2: Convert to fraction form
    6,535.56/9,793.74 = 5,152.28/x
  3. Step 3: Cross multiply
    6,535.56x = 9,793.74 × 5,152.28
  4. Step 4: Simplify right side
    6,535.56x = 50,460,090.73
  5. Step 5: Solve for x
    x = 50,460,090.73/6,535.56
  6. Step 6: Final answer
    x = 7,720.85

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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.