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Finding the Fourth Proportional to 17,083.40, 23,574.78 and 9,631.40

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Solution

The fourth proportional to 17,083.40, 23,574.78 and 9,631.40 is: 13,291.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,083.40 : 23,574.78 = 9,631.40 : x
  2. Step 2: Convert to fraction form
    17,083.40/23,574.78 = 9,631.40/x
  3. Step 3: Cross multiply
    17,083.40x = 23,574.78 × 9,631.40
  4. Step 4: Simplify right side
    17,083.40x = 227,058,136.09
  5. Step 5: Solve for x
    x = 227,058,136.09/17,083.40
  6. Step 6: Final answer
    x = 13,291.16

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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.