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Finding the Fourth Proportional to 8,290.44, 11,436.74 and 4,932.18

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Solution

The fourth proportional to 8,290.44, 11,436.74 and 4,932.18 is: 6,803.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.44 : 11,436.74 = 4,932.18 : x
  2. Step 2: Convert to fraction form
    8,290.44/11,436.74 = 4,932.18/x
  3. Step 3: Cross multiply
    8,290.44x = 11,436.74 × 4,932.18
  4. Step 4: Simplify right side
    8,290.44x = 56,408,035.63
  5. Step 5: Solve for x
    x = 56,408,035.63/8,290.44
  6. Step 6: Final answer
    x = 6,803.99

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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.