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Finding the Fourth Proportional to 6,466.56, 9,676.14 and 5,293.68

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Solution

The fourth proportional to 6,466.56, 9,676.14 and 5,293.68 is: 7,921.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.56 : 9,676.14 = 5,293.68 : x
  2. Step 2: Convert to fraction form
    6,466.56/9,676.14 = 5,293.68/x
  3. Step 3: Cross multiply
    6,466.56x = 9,676.14 × 5,293.68
  4. Step 4: Simplify right side
    6,466.56x = 51,222,388.80
  5. Step 5: Solve for x
    x = 51,222,388.80/6,466.56
  6. Step 6: Final answer
    x = 7,921.12

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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.