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Finding the Fourth Proportional to 13,953.76, 20,917.44 and 5,182.72

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Solution

The fourth proportional to 13,953.76, 20,917.44 and 5,182.72 is: 7,769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.76 : 20,917.44 = 5,182.72 : x
  2. Step 2: Convert to fraction form
    13,953.76/20,917.44 = 5,182.72/x
  3. Step 3: Cross multiply
    13,953.76x = 20,917.44 × 5,182.72
  4. Step 4: Simplify right side
    13,953.76x = 108,409,234.64
  5. Step 5: Solve for x
    x = 108,409,234.64/13,953.76
  6. Step 6: Final answer
    x = 7,769.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.