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Finding the Fourth Proportional to 8,322.63, 11,482.50 and 5,932.98

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Solution

The fourth proportional to 8,322.63, 11,482.50 and 5,932.98 is: 8,185.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.63 : 11,482.50 = 5,932.98 : x
  2. Step 2: Convert to fraction form
    8,322.63/11,482.50 = 5,932.98/x
  3. Step 3: Cross multiply
    8,322.63x = 11,482.50 × 5,932.98
  4. Step 4: Simplify right side
    8,322.63x = 68,125,442.85
  5. Step 5: Solve for x
    x = 68,125,442.85/8,322.63
  6. Step 6: Final answer
    x = 8,185.57

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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.