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Finding the Fourth Proportional to 6,117.35, 8,446.16 and 4,524.35

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Solution

The fourth proportional to 6,117.35, 8,446.16 and 4,524.35 is: 6,246.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.35 : 8,446.16 = 4,524.35 : x
  2. Step 2: Convert to fraction form
    6,117.35/8,446.16 = 4,524.35/x
  3. Step 3: Cross multiply
    6,117.35x = 8,446.16 × 4,524.35
  4. Step 4: Simplify right side
    6,117.35x = 38,213,361.37
  5. Step 5: Solve for x
    x = 38,213,361.37/6,117.35
  6. Step 6: Final answer
    x = 6,246.72

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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.