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Finding the Fourth Proportional to 16,952.16, 23,393.94 and 9,398.30

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Solution

The fourth proportional to 16,952.16, 23,393.94 and 9,398.30 is: 12,969.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,952.16 : 23,393.94 = 9,398.30 : x
  2. Step 2: Convert to fraction form
    16,952.16/23,393.94 = 9,398.30/x
  3. Step 3: Cross multiply
    16,952.16x = 23,393.94 × 9,398.30
  4. Step 4: Simplify right side
    16,952.16x = 219,863,292.08
  5. Step 5: Solve for x
    x = 219,863,292.08/16,952.16
  6. Step 6: Final answer
    x = 12,969.63

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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.