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Finding the Fourth Proportional to 5,663.54, 7,814.07 and 3,423.79

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Solution

The fourth proportional to 5,663.54, 7,814.07 and 3,423.79 is: 4,723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.54 : 7,814.07 = 3,423.79 : x
  2. Step 2: Convert to fraction form
    5,663.54/7,814.07 = 3,423.79/x
  3. Step 3: Cross multiply
    5,663.54x = 7,814.07 × 3,423.79
  4. Step 4: Simplify right side
    5,663.54x = 26,753,744.49
  5. Step 5: Solve for x
    x = 26,753,744.49/5,663.54
  6. Step 6: Final answer
    x = 4,723.85

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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.