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Finding the Fourth Proportional to 10,450.29, 14,427 and 8,072.58

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Solution

The fourth proportional to 10,450.29, 14,427 and 8,072.58 is: 11,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.29 : 14,427 = 8,072.58 : x
  2. Step 2: Convert to fraction form
    10,450.29/14,427 = 8,072.58/x
  3. Step 3: Cross multiply
    10,450.29x = 14,427 × 8,072.58
  4. Step 4: Simplify right side
    10,450.29x = 116,463,111.66
  5. Step 5: Solve for x
    x = 116,463,111.66/10,450.29
  6. Step 6: Final answer
    x = 11,144.49

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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.