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Finding the Fourth Proportional to 5,224.42, 7,834.83 and 1,714.24

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Solution

The fourth proportional to 5,224.42, 7,834.83 and 1,714.24 is: 2,570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.42 : 7,834.83 = 1,714.24 : x
  2. Step 2: Convert to fraction form
    5,224.42/7,834.83 = 1,714.24/x
  3. Step 3: Cross multiply
    5,224.42x = 7,834.83 × 1,714.24
  4. Step 4: Simplify right side
    5,224.42x = 13,430,778.98
  5. Step 5: Solve for x
    x = 13,430,778.98/5,224.42
  6. Step 6: Final answer
    x = 2,570.77

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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.