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Finding the Fourth Proportional to 8,323.63, 11,483.88 and 5,933.98

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Solution

The fourth proportional to 8,323.63, 11,483.88 and 5,933.98 is: 8,186.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.63 : 11,483.88 = 5,933.98 : x
  2. Step 2: Convert to fraction form
    8,323.63/11,483.88 = 5,933.98/x
  3. Step 3: Cross multiply
    8,323.63x = 11,483.88 × 5,933.98
  4. Step 4: Simplify right side
    8,323.63x = 68,145,114.24
  5. Step 5: Solve for x
    x = 68,145,114.24/8,323.63
  6. Step 6: Final answer
    x = 8,186.95

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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.