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Finding the Fourth Proportional to 11,752.70, 16,219.07 and 6,717.74

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Solution

The fourth proportional to 11,752.70, 16,219.07 and 6,717.74 is: 9,270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.70 : 16,219.07 = 6,717.74 : x
  2. Step 2: Convert to fraction form
    11,752.70/16,219.07 = 6,717.74/x
  3. Step 3: Cross multiply
    11,752.70x = 16,219.07 × 6,717.74
  4. Step 4: Simplify right side
    11,752.70x = 108,955,441.44
  5. Step 5: Solve for x
    x = 108,955,441.44/11,752.70
  6. Step 6: Final answer
    x = 9,270.67

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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.