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Finding the Fourth Proportional to 8,135.46, 11,226.90 and 4,409.46

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Solution

The fourth proportional to 8,135.46, 11,226.90 and 4,409.46 is: 6,085.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.46 : 11,226.90 = 4,409.46 : x
  2. Step 2: Convert to fraction form
    8,135.46/11,226.90 = 4,409.46/x
  3. Step 3: Cross multiply
    8,135.46x = 11,226.90 × 4,409.46
  4. Step 4: Simplify right side
    8,135.46x = 49,504,566.47
  5. Step 5: Solve for x
    x = 49,504,566.47/8,135.46
  6. Step 6: Final answer
    x = 6,085.04

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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.