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Finding the Fourth Proportional to 4,663.92, 6,992.84 and 2,164.08

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Solution

The fourth proportional to 4,663.92, 6,992.84 and 2,164.08 is: 3,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.92 : 6,992.84 = 2,164.08 : x
  2. Step 2: Convert to fraction form
    4,663.92/6,992.84 = 2,164.08/x
  3. Step 3: Cross multiply
    4,663.92x = 6,992.84 × 2,164.08
  4. Step 4: Simplify right side
    4,663.92x = 15,133,065.19
  5. Step 5: Solve for x
    x = 15,133,065.19/4,663.92
  6. Step 6: Final answer
    x = 3,244.71

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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.