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Finding the Fourth Proportional to 16,951.84, 23,393.13 and 9,398.03

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Solution

The fourth proportional to 16,951.84, 23,393.13 and 9,398.03 is: 12,969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,951.84 : 23,393.13 = 9,398.03 : x
  2. Step 2: Convert to fraction form
    16,951.84/23,393.13 = 9,398.03/x
  3. Step 3: Cross multiply
    16,951.84x = 23,393.13 × 9,398.03
  4. Step 4: Simplify right side
    16,951.84x = 219,849,337.53
  5. Step 5: Solve for x
    x = 219,849,337.53/16,951.84
  6. Step 6: Final answer
    x = 12,969.05

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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.