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Finding the Fourth Proportional to 14,364.76, 19,824.96 and 8,077

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Solution

The fourth proportional to 14,364.76, 19,824.96 and 8,077 is: 11,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364.76 : 19,824.96 = 8,077 : x
  2. Step 2: Convert to fraction form
    14,364.76/19,824.96 = 8,077/x
  3. Step 3: Cross multiply
    14,364.76x = 19,824.96 × 8,077
  4. Step 4: Simplify right side
    14,364.76x = 160,126,201.92
  5. Step 5: Solve for x
    x = 160,126,201.92/14,364.76
  6. Step 6: Final answer
    x = 11,147.15

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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.