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Finding the Fourth Proportional to 9,806.44, 14,716.14 and 4,612.72

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Solution

The fourth proportional to 9,806.44, 14,716.14 and 4,612.72 is: 6,922.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.44 : 14,716.14 = 4,612.72 : x
  2. Step 2: Convert to fraction form
    9,806.44/14,716.14 = 4,612.72/x
  3. Step 3: Cross multiply
    9,806.44x = 14,716.14 × 4,612.72
  4. Step 4: Simplify right side
    9,806.44x = 67,881,379.21
  5. Step 5: Solve for x
    x = 67,881,379.21/9,806.44
  6. Step 6: Final answer
    x = 6,922.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.