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Finding the Fourth Proportional to 5,495.25, 8,242.89 and 1,599.75

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Solution

The fourth proportional to 5,495.25, 8,242.89 and 1,599.75 is: 2,399.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.25 : 8,242.89 = 1,599.75 : x
  2. Step 2: Convert to fraction form
    5,495.25/8,242.89 = 1,599.75/x
  3. Step 3: Cross multiply
    5,495.25x = 8,242.89 × 1,599.75
  4. Step 4: Simplify right side
    5,495.25x = 13,186,563.28
  5. Step 5: Solve for x
    x = 13,186,563.28/5,495.25
  6. Step 6: Final answer
    x = 2,399.63

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Half scale
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Similar ratio
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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.