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Finding the Fourth Proportional to 11,776.55, 17,641.73 and 6,835.82

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Solution

The fourth proportional to 11,776.55, 17,641.73 and 6,835.82 is: 10,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.55 : 17,641.73 = 6,835.82 : x
  2. Step 2: Convert to fraction form
    11,776.55/17,641.73 = 6,835.82/x
  3. Step 3: Cross multiply
    11,776.55x = 17,641.73 × 6,835.82
  4. Step 4: Simplify right side
    11,776.55x = 120,595,619.65
  5. Step 5: Solve for x
    x = 120,595,619.65/11,776.55
  6. Step 6: Final answer
    x = 10,240.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.