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Finding the Fourth Proportional to 8,494.23, 11,722.05 and 4,957.65

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Solution

The fourth proportional to 8,494.23, 11,722.05 and 4,957.65 is: 6,841.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.23 : 11,722.05 = 4,957.65 : x
  2. Step 2: Convert to fraction form
    8,494.23/11,722.05 = 4,957.65/x
  3. Step 3: Cross multiply
    8,494.23x = 11,722.05 × 4,957.65
  4. Step 4: Simplify right side
    8,494.23x = 58,113,821.18
  5. Step 5: Solve for x
    x = 58,113,821.18/8,494.23
  6. Step 6: Final answer
    x = 6,841.56

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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.