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Finding the Fourth Proportional to 6,774.67, 9,346.08 and 5,200.03

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Solution

The fourth proportional to 6,774.67, 9,346.08 and 5,200.03 is: 7,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.67 : 9,346.08 = 5,200.03 : x
  2. Step 2: Convert to fraction form
    6,774.67/9,346.08 = 5,200.03/x
  3. Step 3: Cross multiply
    6,774.67x = 9,346.08 × 5,200.03
  4. Step 4: Simplify right side
    6,774.67x = 48,599,896.38
  5. Step 5: Solve for x
    x = 48,599,896.38/6,774.67
  6. Step 6: Final answer
    x = 7,173.77

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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.