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Finding the Fourth Proportional to 9,260.92, 12,784.24 and 5,908.24

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Solution

The fourth proportional to 9,260.92, 12,784.24 and 5,908.24 is: 8,156.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.92 : 12,784.24 = 5,908.24 : x
  2. Step 2: Convert to fraction form
    9,260.92/12,784.24 = 5,908.24/x
  3. Step 3: Cross multiply
    9,260.92x = 12,784.24 × 5,908.24
  4. Step 4: Simplify right side
    9,260.92x = 75,532,358.14
  5. Step 5: Solve for x
    x = 75,532,358.14/9,260.92
  6. Step 6: Final answer
    x = 8,156.03

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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.