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Finding the Fourth Proportional to 14,190.98, 19,583.96 and 7,817.97

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Solution

The fourth proportional to 14,190.98, 19,583.96 and 7,817.97 is: 10,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,190.98 : 19,583.96 = 7,817.97 : x
  2. Step 2: Convert to fraction form
    14,190.98/19,583.96 = 7,817.97/x
  3. Step 3: Cross multiply
    14,190.98x = 19,583.96 × 7,817.97
  4. Step 4: Simplify right side
    14,190.98x = 153,106,772.67
  5. Step 5: Solve for x
    x = 153,106,772.67/14,190.98
  6. Step 6: Final answer
    x = 10,789.02

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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.