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Finding the Fourth Proportional to 8,523.10, 11,764.07 and 7,637.37

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Solution

The fourth proportional to 8,523.10, 11,764.07 and 7,637.37 is: 10,541.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.10 : 11,764.07 = 7,637.37 : x
  2. Step 2: Convert to fraction form
    8,523.10/11,764.07 = 7,637.37/x
  3. Step 3: Cross multiply
    8,523.10x = 11,764.07 × 7,637.37
  4. Step 4: Simplify right side
    8,523.10x = 89,846,555.30
  5. Step 5: Solve for x
    x = 89,846,555.30/8,523.10
  6. Step 6: Final answer
    x = 10,541.53

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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.