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Finding the Fourth Proportional to 6,317, 9,475.11 and 1,934.12

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Solution

The fourth proportional to 6,317, 9,475.11 and 1,934.12 is: 2,901.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317 : 9,475.11 = 1,934.12 : x
  2. Step 2: Convert to fraction form
    6,317/9,475.11 = 1,934.12/x
  3. Step 3: Cross multiply
    6,317x = 9,475.11 × 1,934.12
  4. Step 4: Simplify right side
    6,317x = 18,325,999.75
  5. Step 5: Solve for x
    x = 18,325,999.75/6,317
  6. Step 6: Final answer
    x = 2,901.06

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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.