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Finding the Fourth Proportional to 17,374.97, 23,977.46 and 9,417.20

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Solution

The fourth proportional to 17,374.97, 23,977.46 and 9,417.20 is: 12,995.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,374.97 : 23,977.46 = 9,417.20 : x
  2. Step 2: Convert to fraction form
    17,374.97/23,977.46 = 9,417.20/x
  3. Step 3: Cross multiply
    17,374.97x = 23,977.46 × 9,417.20
  4. Step 4: Simplify right side
    17,374.97x = 225,800,369.34
  5. Step 5: Solve for x
    x = 225,800,369.34/17,374.97
  6. Step 6: Final answer
    x = 12,995.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.