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Finding the Fourth Proportional to 8,352.25, 11,523.24 and 4,764.63

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Solution

The fourth proportional to 8,352.25, 11,523.24 and 4,764.63 is: 6,573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.25 : 11,523.24 = 4,764.63 : x
  2. Step 2: Convert to fraction form
    8,352.25/11,523.24 = 4,764.63/x
  3. Step 3: Cross multiply
    8,352.25x = 11,523.24 × 4,764.63
  4. Step 4: Simplify right side
    8,352.25x = 54,903,975.00
  5. Step 5: Solve for x
    x = 54,903,975.00/8,352.25
  6. Step 6: Final answer
    x = 6,573.56

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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.