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Finding the Fourth Proportional to 8,274.96, 11,418.84 and 4,738.32

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Solution

The fourth proportional to 8,274.96, 11,418.84 and 4,738.32 is: 6,538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.96 : 11,418.84 = 4,738.32 : x
  2. Step 2: Convert to fraction form
    8,274.96/11,418.84 = 4,738.32/x
  3. Step 3: Cross multiply
    8,274.96x = 11,418.84 × 4,738.32
  4. Step 4: Simplify right side
    8,274.96x = 54,106,117.95
  5. Step 5: Solve for x
    x = 54,106,117.95/8,274.96
  6. Step 6: Final answer
    x = 6,538.54

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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.