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Finding the Fourth Proportional to 6,500.56, 9,753.09 and 4,723.28

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Solution

The fourth proportional to 6,500.56, 9,753.09 and 4,723.28 is: 7,086.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.56 : 9,753.09 = 4,723.28 : x
  2. Step 2: Convert to fraction form
    6,500.56/9,753.09 = 4,723.28/x
  3. Step 3: Cross multiply
    6,500.56x = 9,753.09 × 4,723.28
  4. Step 4: Simplify right side
    6,500.56x = 46,066,574.94
  5. Step 5: Solve for x
    x = 46,066,574.94/6,500.56
  6. Step 6: Final answer
    x = 7,086.55

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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.