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Finding the Fourth Proportional to 14,353.56, 19,807.74 and 8,067

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Solution

The fourth proportional to 14,353.56, 19,807.74 and 8,067 is: 11,132.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,353.56 : 19,807.74 = 8,067 : x
  2. Step 2: Convert to fraction form
    14,353.56/19,807.74 = 8,067/x
  3. Step 3: Cross multiply
    14,353.56x = 19,807.74 × 8,067
  4. Step 4: Simplify right side
    14,353.56x = 159,789,038.58
  5. Step 5: Solve for x
    x = 159,789,038.58/14,353.56
  6. Step 6: Final answer
    x = 11,132.36

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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.