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Finding the Fourth Proportional to 6,563.44, 9,054.84 and 4,078

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Solution

The fourth proportional to 6,563.44, 9,054.84 and 4,078 is: 5,625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.44 : 9,054.84 = 4,078 : x
  2. Step 2: Convert to fraction form
    6,563.44/9,054.84 = 4,078/x
  3. Step 3: Cross multiply
    6,563.44x = 9,054.84 × 4,078
  4. Step 4: Simplify right side
    6,563.44x = 36,925,637.52
  5. Step 5: Solve for x
    x = 36,925,637.52/6,563.44
  6. Step 6: Final answer
    x = 5,625.96

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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.