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Finding the Fourth Proportional to 5,975.86, 8,963.72 and 1,593.66

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Solution

The fourth proportional to 5,975.86, 8,963.72 and 1,593.66 is: 2,390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.86 : 8,963.72 = 1,593.66 : x
  2. Step 2: Convert to fraction form
    5,975.86/8,963.72 = 1,593.66/x
  3. Step 3: Cross multiply
    5,975.86x = 8,963.72 × 1,593.66
  4. Step 4: Simplify right side
    5,975.86x = 14,285,122.02
  5. Step 5: Solve for x
    x = 14,285,122.02/5,975.86
  6. Step 6: Final answer
    x = 2,390.47

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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.