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Finding the Fourth Proportional to 5,972.94, 8,225.55 and 5,953.50

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Solution

The fourth proportional to 5,972.94, 8,225.55 and 5,953.50 is: 8,198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.94 : 8,225.55 = 5,953.50 : x
  2. Step 2: Convert to fraction form
    5,972.94/8,225.55 = 5,953.50/x
  3. Step 3: Cross multiply
    5,972.94x = 8,225.55 × 5,953.50
  4. Step 4: Simplify right side
    5,972.94x = 48,970,811.93
  5. Step 5: Solve for x
    x = 48,970,811.93/5,972.94
  6. Step 6: Final answer
    x = 8,198.78

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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.