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Finding the Fourth Proportional to 14,472.96, 19,971.71 and 8,098.44

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Solution

The fourth proportional to 14,472.96, 19,971.71 and 8,098.44 is: 11,175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,472.96 : 19,971.71 = 8,098.44 : x
  2. Step 2: Convert to fraction form
    14,472.96/19,971.71 = 8,098.44/x
  3. Step 3: Cross multiply
    14,472.96x = 19,971.71 × 8,098.44
  4. Step 4: Simplify right side
    14,472.96x = 161,739,715.38
  5. Step 5: Solve for x
    x = 161,739,715.38/14,472.96
  6. Step 6: Final answer
    x = 11,175.30

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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.