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Finding the Fourth Proportional to 6,466.68, 9,698.00 and 4,286.97

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Solution

The fourth proportional to 6,466.68, 9,698.00 and 4,286.97 is: 6,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.68 : 9,698.00 = 4,286.97 : x
  2. Step 2: Convert to fraction form
    6,466.68/9,698.00 = 4,286.97/x
  3. Step 3: Cross multiply
    6,466.68x = 9,698.00 × 4,286.97
  4. Step 4: Simplify right side
    6,466.68x = 41,575,013.63
  5. Step 5: Solve for x
    x = 41,575,013.63/6,466.68
  6. Step 6: Final answer
    x = 6,429.11

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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.