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Finding the Fourth Proportional to 9,603.82, 13,255.78 and 6,255.82

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Solution

The fourth proportional to 9,603.82, 13,255.78 and 6,255.82 is: 8,634.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.82 : 13,255.78 = 6,255.82 : x
  2. Step 2: Convert to fraction form
    9,603.82/13,255.78 = 6,255.82/x
  3. Step 3: Cross multiply
    9,603.82x = 13,255.78 × 6,255.82
  4. Step 4: Simplify right side
    9,603.82x = 82,925,724.86
  5. Step 5: Solve for x
    x = 82,925,724.86/9,603.82
  6. Step 6: Final answer
    x = 8,634.66

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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.