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Finding the Fourth Proportional to 6,502.77, 9,754.17 and 5,212.44

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Solution

The fourth proportional to 6,502.77, 9,754.17 and 5,212.44 is: 7,818.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.77 : 9,754.17 = 5,212.44 : x
  2. Step 2: Convert to fraction form
    6,502.77/9,754.17 = 5,212.44/x
  3. Step 3: Cross multiply
    6,502.77x = 9,754.17 × 5,212.44
  4. Step 4: Simplify right side
    6,502.77x = 50,843,025.87
  5. Step 5: Solve for x
    x = 50,843,025.87/6,502.77
  6. Step 6: Final answer
    x = 7,818.67

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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.