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Finding the Fourth Proportional to 5,606.82, 7,732.87 and 4,933.17

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Solution

The fourth proportional to 5,606.82, 7,732.87 and 4,933.17 is: 6,803.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.82 : 7,732.87 = 4,933.17 : x
  2. Step 2: Convert to fraction form
    5,606.82/7,732.87 = 4,933.17/x
  3. Step 3: Cross multiply
    5,606.82x = 7,732.87 × 4,933.17
  4. Step 4: Simplify right side
    5,606.82x = 38,147,549.96
  5. Step 5: Solve for x
    x = 38,147,549.96/5,606.82
  6. Step 6: Final answer
    x = 6,803.78

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1.5x scale

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.