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Finding the Fourth Proportional to 4,549.50, 6,824.26 and 1,813.50

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Solution

The fourth proportional to 4,549.50, 6,824.26 and 1,813.50 is: 2,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.50 : 6,824.26 = 1,813.50 : x
  2. Step 2: Convert to fraction form
    4,549.50/6,824.26 = 1,813.50/x
  3. Step 3: Cross multiply
    4,549.50x = 6,824.26 × 1,813.50
  4. Step 4: Simplify right side
    4,549.50x = 12,375,795.51
  5. Step 5: Solve for x
    x = 12,375,795.51/4,549.50
  6. Step 6: Final answer
    x = 2,720.25

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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.