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Finding the Fourth Proportional to 7,205.75, 10,809.23 and 2,274.06

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Solution

The fourth proportional to 7,205.75, 10,809.23 and 2,274.06 is: 3,411.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.75 : 10,809.23 = 2,274.06 : x
  2. Step 2: Convert to fraction form
    7,205.75/10,809.23 = 2,274.06/x
  3. Step 3: Cross multiply
    7,205.75x = 10,809.23 × 2,274.06
  4. Step 4: Simplify right side
    7,205.75x = 24,580,837.57
  5. Step 5: Solve for x
    x = 24,580,837.57/7,205.75
  6. Step 6: Final answer
    x = 3,411.28

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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.