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Finding the Fourth Proportional to 6,470.76, 9,698.04 and 2,768.67

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Solution

The fourth proportional to 6,470.76, 9,698.04 and 2,768.67 is: 4,149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.76 : 9,698.04 = 2,768.67 : x
  2. Step 2: Convert to fraction form
    6,470.76/9,698.04 = 2,768.67/x
  3. Step 3: Cross multiply
    6,470.76x = 9,698.04 × 2,768.67
  4. Step 4: Simplify right side
    6,470.76x = 26,850,672.41
  5. Step 5: Solve for x
    x = 26,850,672.41/6,470.76
  6. Step 6: Final answer
    x = 4,149.54

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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.