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Finding the Fourth Proportional to 11,617.76, 16,033.89 and 6,902.06

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Solution

The fourth proportional to 11,617.76, 16,033.89 and 6,902.06 is: 9,525.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.76 : 16,033.89 = 6,902.06 : x
  2. Step 2: Convert to fraction form
    11,617.76/16,033.89 = 6,902.06/x
  3. Step 3: Cross multiply
    11,617.76x = 16,033.89 × 6,902.06
  4. Step 4: Simplify right side
    11,617.76x = 110,666,936.78
  5. Step 5: Solve for x
    x = 110,666,936.78/11,617.76
  6. Step 6: Final answer
    x = 9,525.67

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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.