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Finding the Fourth Proportional to 6,766.53, 9,345.14 and 4,647.64

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Solution

The fourth proportional to 6,766.53, 9,345.14 and 4,647.64 is: 6,418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.53 : 9,345.14 = 4,647.64 : x
  2. Step 2: Convert to fraction form
    6,766.53/9,345.14 = 4,647.64/x
  3. Step 3: Cross multiply
    6,766.53x = 9,345.14 × 4,647.64
  4. Step 4: Simplify right side
    6,766.53x = 43,432,846.47
  5. Step 5: Solve for x
    x = 43,432,846.47/6,766.53
  6. Step 6: Final answer
    x = 6,418.78

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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.