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Finding the Fourth Proportional to 5,193.97, 7,790.01 and 1,495.29

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Solution

The fourth proportional to 5,193.97, 7,790.01 and 1,495.29 is: 2,242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.97 : 7,790.01 = 1,495.29 : x
  2. Step 2: Convert to fraction form
    5,193.97/7,790.01 = 1,495.29/x
  3. Step 3: Cross multiply
    5,193.97x = 7,790.01 × 1,495.29
  4. Step 4: Simplify right side
    5,193.97x = 11,648,324.05
  5. Step 5: Solve for x
    x = 11,648,324.05/5,193.97
  6. Step 6: Final answer
    x = 2,242.66

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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.