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Finding the Fourth Proportional to 6,779.52, 9,358.32 and 4,422.24

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Solution

The fourth proportional to 6,779.52, 9,358.32 and 4,422.24 is: 6,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,779.52 : 9,358.32 = 4,422.24 : x
  2. Step 2: Convert to fraction form
    6,779.52/9,358.32 = 4,422.24/x
  3. Step 3: Cross multiply
    6,779.52x = 9,358.32 × 4,422.24
  4. Step 4: Simplify right side
    6,779.52x = 41,384,737.04
  5. Step 5: Solve for x
    x = 41,384,737.04/6,779.52
  6. Step 6: Final answer
    x = 6,104.38

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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.