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Finding the Fourth Proportional to 17,170.98, 23,693.07 and 10,002.07

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Solution

The fourth proportional to 17,170.98, 23,693.07 and 10,002.07 is: 13,801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,170.98 : 23,693.07 = 10,002.07 : x
  2. Step 2: Convert to fraction form
    17,170.98/23,693.07 = 10,002.07/x
  3. Step 3: Cross multiply
    17,170.98x = 23,693.07 × 10,002.07
  4. Step 4: Simplify right side
    17,170.98x = 236,979,744.65
  5. Step 5: Solve for x
    x = 236,979,744.65/17,170.98
  6. Step 6: Final answer
    x = 13,801.18

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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.