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Finding the Fourth Proportional to 10,585.92, 15,879.06 and 4,015.20

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Solution

The fourth proportional to 10,585.92, 15,879.06 and 4,015.20 is: 6,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.92 : 15,879.06 = 4,015.20 : x
  2. Step 2: Convert to fraction form
    10,585.92/15,879.06 = 4,015.20/x
  3. Step 3: Cross multiply
    10,585.92x = 15,879.06 × 4,015.20
  4. Step 4: Simplify right side
    10,585.92x = 63,757,601.71
  5. Step 5: Solve for x
    x = 63,757,601.71/10,585.92
  6. Step 6: Final answer
    x = 6,022.87

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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.