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Finding the Fourth Proportional to 17,400.76, 26,098.14 and 5,714.20

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Solution

The fourth proportional to 17,400.76, 26,098.14 and 5,714.20 is: 8,570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,400.76 : 26,098.14 = 5,714.20 : x
  2. Step 2: Convert to fraction form
    17,400.76/26,098.14 = 5,714.20/x
  3. Step 3: Cross multiply
    17,400.76x = 26,098.14 × 5,714.20
  4. Step 4: Simplify right side
    17,400.76x = 149,129,991.59
  5. Step 5: Solve for x
    x = 149,129,991.59/17,400.76
  6. Step 6: Final answer
    x = 8,570.31

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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.