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Finding the Fourth Proportional to 14,467, 19,964.58 and 7,843

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Solution

The fourth proportional to 14,467, 19,964.58 and 7,843 is: 10,823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467 : 19,964.58 = 7,843 : x
  2. Step 2: Convert to fraction form
    14,467/19,964.58 = 7,843/x
  3. Step 3: Cross multiply
    14,467x = 19,964.58 × 7,843
  4. Step 4: Simplify right side
    14,467x = 156,582,200.94
  5. Step 5: Solve for x
    x = 156,582,200.94/14,467
  6. Step 6: Final answer
    x = 10,823.41

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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.