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Finding the Fourth Proportional to 6,147.97, 8,462.87 and 4,653.25

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Solution

The fourth proportional to 6,147.97, 8,462.87 and 4,653.25 is: 6,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.97 : 8,462.87 = 4,653.25 : x
  2. Step 2: Convert to fraction form
    6,147.97/8,462.87 = 4,653.25/x
  3. Step 3: Cross multiply
    6,147.97x = 8,462.87 × 4,653.25
  4. Step 4: Simplify right side
    6,147.97x = 39,379,849.83
  5. Step 5: Solve for x
    x = 39,379,849.83/6,147.97
  6. Step 6: Final answer
    x = 6,405.34

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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.