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Finding the Fourth Proportional to 14,285.01, 19,713.74 and 7,997.39

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Solution

The fourth proportional to 14,285.01, 19,713.74 and 7,997.39 is: 11,036.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.01 : 19,713.74 = 7,997.39 : x
  2. Step 2: Convert to fraction form
    14,285.01/19,713.74 = 7,997.39/x
  3. Step 3: Cross multiply
    14,285.01x = 19,713.74 × 7,997.39
  4. Step 4: Simplify right side
    14,285.01x = 157,658,467.14
  5. Step 5: Solve for x
    x = 157,658,467.14/14,285.01
  6. Step 6: Final answer
    x = 11,036.64

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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.