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Finding the Fourth Proportional to 16,706.91, 23,051.48 and 9,254.91

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Solution

The fourth proportional to 16,706.91, 23,051.48 and 9,254.91 is: 12,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706.91 : 23,051.48 = 9,254.91 : x
  2. Step 2: Convert to fraction form
    16,706.91/23,051.48 = 9,254.91/x
  3. Step 3: Cross multiply
    16,706.91x = 23,051.48 × 9,254.91
  4. Step 4: Simplify right side
    16,706.91x = 213,339,326.49
  5. Step 5: Solve for x
    x = 213,339,326.49/16,706.91
  6. Step 6: Final answer
    x = 12,769.53

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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.