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Finding the Fourth Proportional to 5,663.03, 7,812.81 and 4,174.49

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Solution

The fourth proportional to 5,663.03, 7,812.81 and 4,174.49 is: 5,759.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.03 : 7,812.81 = 4,174.49 : x
  2. Step 2: Convert to fraction form
    5,663.03/7,812.81 = 4,174.49/x
  3. Step 3: Cross multiply
    5,663.03x = 7,812.81 × 4,174.49
  4. Step 4: Simplify right side
    5,663.03x = 32,614,458.15
  5. Step 5: Solve for x
    x = 32,614,458.15/5,663.03
  6. Step 6: Final answer
    x = 5,759.19

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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.