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Finding the Fourth Proportional to 5,504.64, 8,256.24 and 1,806.24

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Solution

The fourth proportional to 5,504.64, 8,256.24 and 1,806.24 is: 2,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504.64 : 8,256.24 = 1,806.24 : x
  2. Step 2: Convert to fraction form
    5,504.64/8,256.24 = 1,806.24/x
  3. Step 3: Cross multiply
    5,504.64x = 8,256.24 × 1,806.24
  4. Step 4: Simplify right side
    5,504.64x = 14,912,750.94
  5. Step 5: Solve for x
    x = 14,912,750.94/5,504.64
  6. Step 6: Final answer
    x = 2,709.12

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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.