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Finding the Fourth Proportional to 14,314.56, 19,753.56 and 8,026.98

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Solution

The fourth proportional to 14,314.56, 19,753.56 and 8,026.98 is: 11,076.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.56 : 19,753.56 = 8,026.98 : x
  2. Step 2: Convert to fraction form
    14,314.56/19,753.56 = 8,026.98/x
  3. Step 3: Cross multiply
    14,314.56x = 19,753.56 × 8,026.98
  4. Step 4: Simplify right side
    14,314.56x = 158,561,431.05
  5. Step 5: Solve for x
    x = 158,561,431.05/14,314.56
  6. Step 6: Final answer
    x = 11,076.93

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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.