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Finding the Fourth Proportional to 17,374.75, 23,977.02 and 9,416.77

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Solution

The fourth proportional to 17,374.75, 23,977.02 and 9,416.77 is: 12,995.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,374.75 : 23,977.02 = 9,416.77 : x
  2. Step 2: Convert to fraction form
    17,374.75/23,977.02 = 9,416.77/x
  3. Step 3: Cross multiply
    17,374.75x = 23,977.02 × 9,416.77
  4. Step 4: Simplify right side
    17,374.75x = 225,786,082.63
  5. Step 5: Solve for x
    x = 225,786,082.63/17,374.75
  6. Step 6: Final answer
    x = 12,995.07

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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.