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Finding the Fourth Proportional to 6,779.22, 9,356.37 and 3,946.61

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Solution

The fourth proportional to 6,779.22, 9,356.37 and 3,946.61 is: 5,446.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,779.22 : 9,356.37 = 3,946.61 : x
  2. Step 2: Convert to fraction form
    6,779.22/9,356.37 = 3,946.61/x
  3. Step 3: Cross multiply
    6,779.22x = 9,356.37 × 3,946.61
  4. Step 4: Simplify right side
    6,779.22x = 36,925,943.41
  5. Step 5: Solve for x
    x = 36,925,943.41/6,779.22
  6. Step 6: Final answer
    x = 5,446.93

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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.