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Finding the Fourth Proportional to 12,083.99, 16,676.16 and 6,779.18

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Solution

The fourth proportional to 12,083.99, 16,676.16 and 6,779.18 is: 9,355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.99 : 16,676.16 = 6,779.18 : x
  2. Step 2: Convert to fraction form
    12,083.99/16,676.16 = 6,779.18/x
  3. Step 3: Cross multiply
    12,083.99x = 16,676.16 × 6,779.18
  4. Step 4: Simplify right side
    12,083.99x = 113,050,690.35
  5. Step 5: Solve for x
    x = 113,050,690.35/12,083.99
  6. Step 6: Final answer
    x = 9,355.41

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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.