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Finding the Fourth Proportional to 11,604.56, 16,015.08 and 6,568.80

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Solution

The fourth proportional to 11,604.56, 16,015.08 and 6,568.80 is: 9,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.56 : 16,015.08 = 6,568.80 : x
  2. Step 2: Convert to fraction form
    11,604.56/16,015.08 = 6,568.80/x
  3. Step 3: Cross multiply
    11,604.56x = 16,015.08 × 6,568.80
  4. Step 4: Simplify right side
    11,604.56x = 105,199,857.50
  5. Step 5: Solve for x
    x = 105,199,857.50/11,604.56
  6. Step 6: Final answer
    x = 9,065.39

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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.