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Finding the Fourth Proportional to 14,414.98, 19,892.88 and 8,127.34

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Solution

The fourth proportional to 14,414.98, 19,892.88 and 8,127.34 is: 11,215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.98 : 19,892.88 = 8,127.34 : x
  2. Step 2: Convert to fraction form
    14,414.98/19,892.88 = 8,127.34/x
  3. Step 3: Cross multiply
    14,414.98x = 19,892.88 × 8,127.34
  4. Step 4: Simplify right side
    14,414.98x = 161,676,199.34
  5. Step 5: Solve for x
    x = 161,676,199.34/14,414.98
  6. Step 6: Final answer
    x = 11,215.85

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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.