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Finding the Fourth Proportional to 16,846, 23,247 and 9,292.36

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Solution

The fourth proportional to 16,846, 23,247 and 9,292.36 is: 12,823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,846 : 23,247 = 9,292.36 : x
  2. Step 2: Convert to fraction form
    16,846/23,247 = 9,292.36/x
  3. Step 3: Cross multiply
    16,846x = 23,247 × 9,292.36
  4. Step 4: Simplify right side
    16,846x = 216,019,492.92
  5. Step 5: Solve for x
    x = 216,019,492.92/16,846
  6. Step 6: Final answer
    x = 12,823.19

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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.