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Finding the Fourth Proportional to 8,474.10, 11,693.14 and 4,697.07

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Solution

The fourth proportional to 8,474.10, 11,693.14 and 4,697.07 is: 6,481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.10 : 11,693.14 = 4,697.07 : x
  2. Step 2: Convert to fraction form
    8,474.10/11,693.14 = 4,697.07/x
  3. Step 3: Cross multiply
    8,474.10x = 11,693.14 × 4,697.07
  4. Step 4: Simplify right side
    8,474.10x = 54,923,497.10
  5. Step 5: Solve for x
    x = 54,923,497.10/8,474.10
  6. Step 6: Final answer
    x = 6,481.34

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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.