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Finding the Fourth Proportional to 6,698.29, 10,046.29 and 1,767.98

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Solution

The fourth proportional to 6,698.29, 10,046.29 and 1,767.98 is: 2,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.29 : 10,046.29 = 1,767.98 : x
  2. Step 2: Convert to fraction form
    6,698.29/10,046.29 = 1,767.98/x
  3. Step 3: Cross multiply
    6,698.29x = 10,046.29 × 1,767.98
  4. Step 4: Simplify right side
    6,698.29x = 17,761,639.79
  5. Step 5: Solve for x
    x = 17,761,639.79/6,698.29
  6. Step 6: Final answer
    x = 2,651.67

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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.