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Finding the Fourth Proportional to 16,871.10, 23,282.11 and 9,797.98

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Solution

The fourth proportional to 16,871.10, 23,282.11 and 9,797.98 is: 13,521.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,871.10 : 23,282.11 = 9,797.98 : x
  2. Step 2: Convert to fraction form
    16,871.10/23,282.11 = 9,797.98/x
  3. Step 3: Cross multiply
    16,871.10x = 23,282.11 × 9,797.98
  4. Step 4: Simplify right side
    16,871.10x = 228,117,582.06
  5. Step 5: Solve for x
    x = 228,117,582.06/16,871.10
  6. Step 6: Final answer
    x = 13,521.21

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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.