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Finding the Fourth Proportional to 6,524.58, 9,785.66 and 3,014.45

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Solution

The fourth proportional to 6,524.58, 9,785.66 and 3,014.45 is: 4,521.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.58 : 9,785.66 = 3,014.45 : x
  2. Step 2: Convert to fraction form
    6,524.58/9,785.66 = 3,014.45/x
  3. Step 3: Cross multiply
    6,524.58x = 9,785.66 × 3,014.45
  4. Step 4: Simplify right side
    6,524.58x = 29,498,318.79
  5. Step 5: Solve for x
    x = 29,498,318.79/6,524.58
  6. Step 6: Final answer
    x = 4,521.11

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