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Finding the Fourth Proportional to 8,540.67, 11,786.25 and 4,764.18

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Solution

The fourth proportional to 8,540.67, 11,786.25 and 4,764.18 is: 6,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.67 : 11,786.25 = 4,764.18 : x
  2. Step 2: Convert to fraction form
    8,540.67/11,786.25 = 4,764.18/x
  3. Step 3: Cross multiply
    8,540.67x = 11,786.25 × 4,764.18
  4. Step 4: Simplify right side
    8,540.67x = 56,151,816.53
  5. Step 5: Solve for x
    x = 56,151,816.53/8,540.67
  6. Step 6: Final answer
    x = 6,574.64

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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.