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Finding the Fourth Proportional to 10,594.92, 14,620.74 and 5,879.08

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Solution

The fourth proportional to 10,594.92, 14,620.74 and 5,879.08 is: 8,112.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.92 : 14,620.74 = 5,879.08 : x
  2. Step 2: Convert to fraction form
    10,594.92/14,620.74 = 5,879.08/x
  3. Step 3: Cross multiply
    10,594.92x = 14,620.74 × 5,879.08
  4. Step 4: Simplify right side
    10,594.92x = 85,956,500.12
  5. Step 5: Solve for x
    x = 85,956,500.12/10,594.92
  6. Step 6: Final answer
    x = 8,112.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.