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Finding the Fourth Proportional to 6,431.94, 9,632.93 and 6,254.60

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Solution

The fourth proportional to 6,431.94, 9,632.93 and 6,254.60 is: 9,367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.94 : 9,632.93 = 6,254.60 : x
  2. Step 2: Convert to fraction form
    6,431.94/9,632.93 = 6,254.60/x
  3. Step 3: Cross multiply
    6,431.94x = 9,632.93 × 6,254.60
  4. Step 4: Simplify right side
    6,431.94x = 60,250,044.54
  5. Step 5: Solve for x
    x = 60,250,044.54/6,431.94
  6. Step 6: Final answer
    x = 9,367.32

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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.