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Finding the Fourth Proportional to 6,492.15, 9,745.92 and 5,464.93

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Solution

The fourth proportional to 6,492.15, 9,745.92 and 5,464.93 is: 8,203.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.15 : 9,745.92 = 5,464.93 : x
  2. Step 2: Convert to fraction form
    6,492.15/9,745.92 = 5,464.93/x
  3. Step 3: Cross multiply
    6,492.15x = 9,745.92 × 5,464.93
  4. Step 4: Simplify right side
    6,492.15x = 53,260,770.59
  5. Step 5: Solve for x
    x = 53,260,770.59/6,492.15
  6. Step 6: Final answer
    x = 8,203.87

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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.