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Finding the Fourth Proportional to 14,327.80, 19,772.05 and 7,954.02

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Solution

The fourth proportional to 14,327.80, 19,772.05 and 7,954.02 is: 10,976.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,327.80 : 19,772.05 = 7,954.02 : x
  2. Step 2: Convert to fraction form
    14,327.80/19,772.05 = 7,954.02/x
  3. Step 3: Cross multiply
    14,327.80x = 19,772.05 × 7,954.02
  4. Step 4: Simplify right side
    14,327.80x = 157,267,281.14
  5. Step 5: Solve for x
    x = 157,267,281.14/14,327.80
  6. Step 6: Final answer
    x = 10,976.37

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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.