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Finding the Fourth Proportional to 11,674.53, 17,580.24 and 8,410.23

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Solution

The fourth proportional to 11,674.53, 17,580.24 and 8,410.23 is: 12,664.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.53 : 17,580.24 = 8,410.23 : x
  2. Step 2: Convert to fraction form
    11,674.53/17,580.24 = 8,410.23/x
  3. Step 3: Cross multiply
    11,674.53x = 17,580.24 × 8,410.23
  4. Step 4: Simplify right side
    11,674.53x = 147,853,861.86
  5. Step 5: Solve for x
    x = 147,853,861.86/11,674.53
  6. Step 6: Final answer
    x = 12,664.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.