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Finding the Fourth Proportional to 6,646.92, 9,974.70 and 3,363.72

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Solution

The fourth proportional to 6,646.92, 9,974.70 and 3,363.72 is: 5,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.92 : 9,974.70 = 3,363.72 : x
  2. Step 2: Convert to fraction form
    6,646.92/9,974.70 = 3,363.72/x
  3. Step 3: Cross multiply
    6,646.92x = 9,974.70 × 3,363.72
  4. Step 4: Simplify right side
    6,646.92x = 33,552,097.88
  5. Step 5: Solve for x
    x = 33,552,097.88/6,646.92
  6. Step 6: Final answer
    x = 5,047.77

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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.