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Finding the Fourth Proportional to 5,647.44, 7,784.46 and 4,450.53

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Solution

The fourth proportional to 5,647.44, 7,784.46 and 4,450.53 is: 6,134.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.44 : 7,784.46 = 4,450.53 : x
  2. Step 2: Convert to fraction form
    5,647.44/7,784.46 = 4,450.53/x
  3. Step 3: Cross multiply
    5,647.44x = 7,784.46 × 4,450.53
  4. Step 4: Simplify right side
    5,647.44x = 34,644,972.76
  5. Step 5: Solve for x
    x = 34,644,972.76/5,647.44
  6. Step 6: Final answer
    x = 6,134.63

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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.