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Finding the Fourth Proportional to 7,166.70, 10,746.20 and 2,234.34

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Solution

The fourth proportional to 7,166.70, 10,746.20 and 2,234.34 is: 3,350.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.70 : 10,746.20 = 2,234.34 : x
  2. Step 2: Convert to fraction form
    7,166.70/10,746.20 = 2,234.34/x
  3. Step 3: Cross multiply
    7,166.70x = 10,746.20 × 2,234.34
  4. Step 4: Simplify right side
    7,166.70x = 24,010,670.09
  5. Step 5: Solve for x
    x = 24,010,670.09/7,166.70
  6. Step 6: Final answer
    x = 3,350.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.