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Finding the Fourth Proportional to 7,745.92, 10,691.04 and 5,093.58

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Solution

The fourth proportional to 7,745.92, 10,691.04 and 5,093.58 is: 7,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.92 : 10,691.04 = 5,093.58 : x
  2. Step 2: Convert to fraction form
    7,745.92/10,691.04 = 5,093.58/x
  3. Step 3: Cross multiply
    7,745.92x = 10,691.04 × 5,093.58
  4. Step 4: Simplify right side
    7,745.92x = 54,455,667.52
  5. Step 5: Solve for x
    x = 54,455,667.52/7,745.92
  6. Step 6: Final answer
    x = 7,030.24

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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.