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Finding the Fourth Proportional to 7,687.10, 11,523.74 and 3,010.23

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Solution

The fourth proportional to 7,687.10, 11,523.74 and 3,010.23 is: 4,512.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.10 : 11,523.74 = 3,010.23 : x
  2. Step 2: Convert to fraction form
    7,687.10/11,523.74 = 3,010.23/x
  3. Step 3: Cross multiply
    7,687.10x = 11,523.74 × 3,010.23
  4. Step 4: Simplify right side
    7,687.10x = 34,689,092.81
  5. Step 5: Solve for x
    x = 34,689,092.81/7,687.10
  6. Step 6: Final answer
    x = 4,512.64

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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.