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Finding the Fourth Proportional to 8,409.83, 11,521.52 and 8,094.54

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Solution

The fourth proportional to 8,409.83, 11,521.52 and 8,094.54 is: 11,089.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.83 : 11,521.52 = 8,094.54 : x
  2. Step 2: Convert to fraction form
    8,409.83/11,521.52 = 8,094.54/x
  3. Step 3: Cross multiply
    8,409.83x = 11,521.52 × 8,094.54
  4. Step 4: Simplify right side
    8,409.83x = 93,261,404.50
  5. Step 5: Solve for x
    x = 93,261,404.50/8,409.83
  6. Step 6: Final answer
    x = 11,089.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.