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Finding the Fourth Proportional to 7,203.12, 10,806.12 and 2,586.48

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Solution

The fourth proportional to 7,203.12, 10,806.12 and 2,586.48 is: 3,880.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.12 : 10,806.12 = 2,586.48 : x
  2. Step 2: Convert to fraction form
    7,203.12/10,806.12 = 2,586.48/x
  3. Step 3: Cross multiply
    7,203.12x = 10,806.12 × 2,586.48
  4. Step 4: Simplify right side
    7,203.12x = 27,949,813.26
  5. Step 5: Solve for x
    x = 27,949,813.26/7,203.12
  6. Step 6: Final answer
    x = 3,880.24

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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.