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Finding the Fourth Proportional to 8,409.67, 11,606.73 and 6,416.46

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Solution

The fourth proportional to 8,409.67, 11,606.73 and 6,416.46 is: 8,855.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.67 : 11,606.73 = 6,416.46 : x
  2. Step 2: Convert to fraction form
    8,409.67/11,606.73 = 6,416.46/x
  3. Step 3: Cross multiply
    8,409.67x = 11,606.73 × 6,416.46
  4. Step 4: Simplify right side
    8,409.67x = 74,474,118.78
  5. Step 5: Solve for x
    x = 74,474,118.78/8,409.67
  6. Step 6: Final answer
    x = 8,855.77

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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.