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Finding the Fourth Proportional to 16,846, 23,247.96 and 9,394.48

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Solution

The fourth proportional to 16,846, 23,247.96 and 9,394.48 is: 12,964.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,846 : 23,247.96 = 9,394.48 : x
  2. Step 2: Convert to fraction form
    16,846/23,247.96 = 9,394.48/x
  3. Step 3: Cross multiply
    16,846x = 23,247.96 × 9,394.48
  4. Step 4: Simplify right side
    16,846x = 218,402,495.26
  5. Step 5: Solve for x
    x = 218,402,495.26/16,846
  6. Step 6: Final answer
    x = 12,964.65

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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.