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Finding the Fourth Proportional to 7,314.91, 10,974.08 and 4,196.91

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Solution

The fourth proportional to 7,314.91, 10,974.08 and 4,196.91 is: 6,296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.91 : 10,974.08 = 4,196.91 : x
  2. Step 2: Convert to fraction form
    7,314.91/10,974.08 = 4,196.91/x
  3. Step 3: Cross multiply
    7,314.91x = 10,974.08 × 4,196.91
  4. Step 4: Simplify right side
    7,314.91x = 46,057,277.74
  5. Step 5: Solve for x
    x = 46,057,277.74/7,314.91
  6. Step 6: Final answer
    x = 6,296.36

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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.