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Finding the Fourth Proportional to 7,774.98, 10,723.74 and 5,255.88

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Solution

The fourth proportional to 7,774.98, 10,723.74 and 5,255.88 is: 7,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.98 : 10,723.74 = 5,255.88 : x
  2. Step 2: Convert to fraction form
    7,774.98/10,723.74 = 5,255.88/x
  3. Step 3: Cross multiply
    7,774.98x = 10,723.74 × 5,255.88
  4. Step 4: Simplify right side
    7,774.98x = 56,362,690.59
  5. Step 5: Solve for x
    x = 56,362,690.59/7,774.98
  6. Step 6: Final answer
    x = 7,249.24

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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.