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Finding the Fourth Proportional to 6,676.96, 9,217.86 and 4,025

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Solution

The fourth proportional to 6,676.96, 9,217.86 and 4,025 is: 5,556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.96 : 9,217.86 = 4,025 : x
  2. Step 2: Convert to fraction form
    6,676.96/9,217.86 = 4,025/x
  3. Step 3: Cross multiply
    6,676.96x = 9,217.86 × 4,025
  4. Step 4: Simplify right side
    6,676.96x = 37,101,886.50
  5. Step 5: Solve for x
    x = 37,101,886.50/6,676.96
  6. Step 6: Final answer
    x = 5,556.70

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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.