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Finding the Fourth Proportional to 5,296.92, 7,946.46 and 2,009.40

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Solution

The fourth proportional to 5,296.92, 7,946.46 and 2,009.40 is: 3,014.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.92 : 7,946.46 = 2,009.40 : x
  2. Step 2: Convert to fraction form
    5,296.92/7,946.46 = 2,009.40/x
  3. Step 3: Cross multiply
    5,296.92x = 7,946.46 × 2,009.40
  4. Step 4: Simplify right side
    5,296.92x = 15,967,616.72
  5. Step 5: Solve for x
    x = 15,967,616.72/5,296.92
  6. Step 6: Final answer
    x = 3,014.51

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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.