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Finding the Fourth Proportional to 14,327.76, 19,771.98 and 7,953.97

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Solution

The fourth proportional to 14,327.76, 19,771.98 and 7,953.97 is: 10,976.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,327.76 : 19,771.98 = 7,953.97 : x
  2. Step 2: Convert to fraction form
    14,327.76/19,771.98 = 7,953.97/x
  3. Step 3: Cross multiply
    14,327.76x = 19,771.98 × 7,953.97
  4. Step 4: Simplify right side
    14,327.76x = 157,265,735.76
  5. Step 5: Solve for x
    x = 157,265,735.76/14,327.76
  6. Step 6: Final answer
    x = 10,976.30

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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.