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Finding the Fourth Proportional to 4,676.09, 7,014.11 and 4,442.49

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Solution

The fourth proportional to 4,676.09, 7,014.11 and 4,442.49 is: 6,663.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.09 : 7,014.11 = 4,442.49 : x
  2. Step 2: Convert to fraction form
    4,676.09/7,014.11 = 4,442.49/x
  3. Step 3: Cross multiply
    4,676.09x = 7,014.11 × 4,442.49
  4. Step 4: Simplify right side
    4,676.09x = 31,160,091.32
  5. Step 5: Solve for x
    x = 31,160,091.32/4,676.09
  6. Step 6: Final answer
    x = 6,663.71

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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.