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Finding the Fourth Proportional to 9,995.86, 13,795.95 and 5,963.21

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Solution

The fourth proportional to 9,995.86, 13,795.95 and 5,963.21 is: 8,230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.86 : 13,795.95 = 5,963.21 : x
  2. Step 2: Convert to fraction form
    9,995.86/13,795.95 = 5,963.21/x
  3. Step 3: Cross multiply
    9,995.86x = 13,795.95 × 5,963.21
  4. Step 4: Simplify right side
    9,995.86x = 82,268,048.20
  5. Step 5: Solve for x
    x = 82,268,048.20/9,995.86
  6. Step 6: Final answer
    x = 8,230.21

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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.