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Finding the Fourth Proportional to 6,524.21, 9,774 and 5,056.18

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Solution

The fourth proportional to 6,524.21, 9,774 and 5,056.18 is: 7,574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.21 : 9,774 = 5,056.18 : x
  2. Step 2: Convert to fraction form
    6,524.21/9,774 = 5,056.18/x
  3. Step 3: Cross multiply
    6,524.21x = 9,774 × 5,056.18
  4. Step 4: Simplify right side
    6,524.21x = 49,419,103.32
  5. Step 5: Solve for x
    x = 49,419,103.32/6,524.21
  6. Step 6: Final answer
    x = 7,574.73

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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.