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Finding the Fourth Proportional to 7,779.66, 11,669.49 and 2,584.86

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Solution

The fourth proportional to 7,779.66, 11,669.49 and 2,584.86 is: 3,877.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.66 : 11,669.49 = 2,584.86 : x
  2. Step 2: Convert to fraction form
    7,779.66/11,669.49 = 2,584.86/x
  3. Step 3: Cross multiply
    7,779.66x = 11,669.49 × 2,584.86
  4. Step 4: Simplify right side
    7,779.66x = 30,163,997.92
  5. Step 5: Solve for x
    x = 30,163,997.92/7,779.66
  6. Step 6: Final answer
    x = 3,877.29

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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.