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Finding the Fourth Proportional to 14,472.84, 19,968.10 and 8,098.77

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Solution

The fourth proportional to 14,472.84, 19,968.10 and 8,098.77 is: 11,173.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,472.84 : 19,968.10 = 8,098.77 : x
  2. Step 2: Convert to fraction form
    14,472.84/19,968.10 = 8,098.77/x
  3. Step 3: Cross multiply
    14,472.84x = 19,968.10 × 8,098.77
  4. Step 4: Simplify right side
    14,472.84x = 161,717,049.24
  5. Step 5: Solve for x
    x = 161,717,049.24/14,472.84
  6. Step 6: Final answer
    x = 11,173.83

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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.