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Finding the Fourth Proportional to 10,873.16, 16,309.84 and 5,689.16

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Solution

The fourth proportional to 10,873.16, 16,309.84 and 5,689.16 is: 8,533.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.16 : 16,309.84 = 5,689.16 : x
  2. Step 2: Convert to fraction form
    10,873.16/16,309.84 = 5,689.16/x
  3. Step 3: Cross multiply
    10,873.16x = 16,309.84 × 5,689.16
  4. Step 4: Simplify right side
    10,873.16x = 92,789,289.33
  5. Step 5: Solve for x
    x = 92,789,289.33/10,873.16
  6. Step 6: Final answer
    x = 8,533.79

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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.