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Finding the Fourth Proportional to 5,169.72, 7,754.58 and 1,707.24

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Solution

The fourth proportional to 5,169.72, 7,754.58 and 1,707.24 is: 2,560.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.72 : 7,754.58 = 1,707.24 : x
  2. Step 2: Convert to fraction form
    5,169.72/7,754.58 = 1,707.24/x
  3. Step 3: Cross multiply
    5,169.72x = 7,754.58 × 1,707.24
  4. Step 4: Simplify right side
    5,169.72x = 13,238,929.16
  5. Step 5: Solve for x
    x = 13,238,929.16/5,169.72
  6. Step 6: Final answer
    x = 2,560.86

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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.