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Finding the Fourth Proportional to 6,568, 9,063.84 and 4,475.77

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Solution

The fourth proportional to 6,568, 9,063.84 and 4,475.77 is: 6,176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568 : 9,063.84 = 4,475.77 : x
  2. Step 2: Convert to fraction form
    6,568/9,063.84 = 4,475.77/x
  3. Step 3: Cross multiply
    6,568x = 9,063.84 × 4,475.77
  4. Step 4: Simplify right side
    6,568x = 40,567,663.16
  5. Step 5: Solve for x
    x = 40,567,663.16/6,568
  6. Step 6: Final answer
    x = 6,176.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.