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Finding the Fourth Proportional to 7,747.60, 11,603.04 and 5,896.48

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Solution

The fourth proportional to 7,747.60, 11,603.04 and 5,896.48 is: 8,830.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.60 : 11,603.04 = 5,896.48 : x
  2. Step 2: Convert to fraction form
    7,747.60/11,603.04 = 5,896.48/x
  3. Step 3: Cross multiply
    7,747.60x = 11,603.04 × 5,896.48
  4. Step 4: Simplify right side
    7,747.60x = 68,417,093.30
  5. Step 5: Solve for x
    x = 68,417,093.30/7,747.60
  6. Step 6: Final answer
    x = 8,830.75

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1.5x scale

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.