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Finding the Fourth Proportional to 6,523.20, 9,737.54 and 5,735.00

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Solution

The fourth proportional to 6,523.20, 9,737.54 and 5,735.00 is: 8,560.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.20 : 9,737.54 = 5,735.00 : x
  2. Step 2: Convert to fraction form
    6,523.20/9,737.54 = 5,735.00/x
  3. Step 3: Cross multiply
    6,523.20x = 9,737.54 × 5,735.00
  4. Step 4: Simplify right side
    6,523.20x = 55,844,714.54
  5. Step 5: Solve for x
    x = 55,844,714.54/6,523.20
  6. Step 6: Final answer
    x = 8,560.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.