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Finding the Fourth Proportional to 14,678.83, 22,021.86 and 6,786.83

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Solution

The fourth proportional to 14,678.83, 22,021.86 and 6,786.83 is: 10,181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.83 : 22,021.86 = 6,786.83 : x
  2. Step 2: Convert to fraction form
    14,678.83/22,021.86 = 6,786.83/x
  3. Step 3: Cross multiply
    14,678.83x = 22,021.86 × 6,786.83
  4. Step 4: Simplify right side
    14,678.83x = 149,458,620.10
  5. Step 5: Solve for x
    x = 149,458,620.10/14,678.83
  6. Step 6: Final answer
    x = 10,181.92

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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.