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Finding the Fourth Proportional to 8,409.58, 11,596.42 and 6,281.77

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Solution

The fourth proportional to 8,409.58, 11,596.42 and 6,281.77 is: 8,662.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.58 : 11,596.42 = 6,281.77 : x
  2. Step 2: Convert to fraction form
    8,409.58/11,596.42 = 6,281.77/x
  3. Step 3: Cross multiply
    8,409.58x = 11,596.42 × 6,281.77
  4. Step 4: Simplify right side
    8,409.58x = 72,846,011.85
  5. Step 5: Solve for x
    x = 72,846,011.85/8,409.58
  6. Step 6: Final answer
    x = 8,662.27

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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.