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Finding the Fourth Proportional to 8,314.68, 11,474.94 and 4,777.32

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Solution

The fourth proportional to 8,314.68, 11,474.94 and 4,777.32 is: 6,593.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.68 : 11,474.94 = 4,777.32 : x
  2. Step 2: Convert to fraction form
    8,314.68/11,474.94 = 4,777.32/x
  3. Step 3: Cross multiply
    8,314.68x = 11,474.94 × 4,777.32
  4. Step 4: Simplify right side
    8,314.68x = 54,819,460.36
  5. Step 5: Solve for x
    x = 54,819,460.36/8,314.68
  6. Step 6: Final answer
    x = 6,593.09

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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.