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Finding the Fourth Proportional to 6,368.11, 9,486.50 and 6,174.66

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Solution

The fourth proportional to 6,368.11, 9,486.50 and 6,174.66 is: 9,198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.11 : 9,486.50 = 6,174.66 : x
  2. Step 2: Convert to fraction form
    6,368.11/9,486.50 = 6,174.66/x
  3. Step 3: Cross multiply
    6,368.11x = 9,486.50 × 6,174.66
  4. Step 4: Simplify right side
    6,368.11x = 58,575,912.09
  5. Step 5: Solve for x
    x = 58,575,912.09/6,368.11
  6. Step 6: Final answer
    x = 9,198.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.