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Finding the Fourth Proportional to 5,663.22, 7,813.06 and 4,174.67

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Solution

The fourth proportional to 5,663.22, 7,813.06 and 4,174.67 is: 5,759.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.22 : 7,813.06 = 4,174.67 : x
  2. Step 2: Convert to fraction form
    5,663.22/7,813.06 = 4,174.67/x
  3. Step 3: Cross multiply
    5,663.22x = 7,813.06 × 4,174.67
  4. Step 4: Simplify right side
    5,663.22x = 32,616,956.29
  5. Step 5: Solve for x
    x = 32,616,956.29/5,663.22
  6. Step 6: Final answer
    x = 5,759.44

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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.