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Finding the Fourth Proportional to 12,155.75, 16,774.52 and 6,850.25

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Solution

The fourth proportional to 12,155.75, 16,774.52 and 6,850.25 is: 9,453.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155.75 : 16,774.52 = 6,850.25 : x
  2. Step 2: Convert to fraction form
    12,155.75/16,774.52 = 6,850.25/x
  3. Step 3: Cross multiply
    12,155.75x = 16,774.52 × 6,850.25
  4. Step 4: Simplify right side
    12,155.75x = 114,909,621.38
  5. Step 5: Solve for x
    x = 114,909,621.38/12,155.75
  6. Step 6: Final answer
    x = 9,453.11

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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.