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Finding the Fourth Proportional to 6,406.73, 9,605.46 and 4,321.52

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Solution

The fourth proportional to 6,406.73, 9,605.46 and 4,321.52 is: 6,479.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.73 : 9,605.46 = 4,321.52 : x
  2. Step 2: Convert to fraction form
    6,406.73/9,605.46 = 4,321.52/x
  3. Step 3: Cross multiply
    6,406.73x = 9,605.46 × 4,321.52
  4. Step 4: Simplify right side
    6,406.73x = 41,510,187.50
  5. Step 5: Solve for x
    x = 41,510,187.50/6,406.73
  6. Step 6: Final answer
    x = 6,479.15

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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.