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Finding the Fourth Proportional to 10,676.26, 16,007.81 and 7,348.54

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Solution

The fourth proportional to 10,676.26, 16,007.81 and 7,348.54 is: 11,018.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.26 : 16,007.81 = 7,348.54 : x
  2. Step 2: Convert to fraction form
    10,676.26/16,007.81 = 7,348.54/x
  3. Step 3: Cross multiply
    10,676.26x = 16,007.81 × 7,348.54
  4. Step 4: Simplify right side
    10,676.26x = 117,634,032.10
  5. Step 5: Solve for x
    x = 117,634,032.10/10,676.26
  6. Step 6: Final answer
    x = 11,018.29

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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.