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Finding the Fourth Proportional to 14,371, 19,833.12 and 8,083.84

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Solution

The fourth proportional to 14,371, 19,833.12 and 8,083.84 is: 11,156.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,371 : 19,833.12 = 8,083.84 : x
  2. Step 2: Convert to fraction form
    14,371/19,833.12 = 8,083.84/x
  3. Step 3: Cross multiply
    14,371x = 19,833.12 × 8,083.84
  4. Step 4: Simplify right side
    14,371x = 160,327,768.78
  5. Step 5: Solve for x
    x = 160,327,768.78/14,371
  6. Step 6: Final answer
    x = 11,156.34

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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.