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Finding the Fourth Proportional to 11,873.60, 16,376.46 and 7,674.56

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Solution

The fourth proportional to 11,873.60, 16,376.46 and 7,674.56 is: 10,585.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.60 : 16,376.46 = 7,674.56 : x
  2. Step 2: Convert to fraction form
    11,873.60/16,376.46 = 7,674.56/x
  3. Step 3: Cross multiply
    11,873.60x = 16,376.46 × 7,674.56
  4. Step 4: Simplify right side
    11,873.60x = 125,682,124.86
  5. Step 5: Solve for x
    x = 125,682,124.86/11,873.60
  6. Step 6: Final answer
    x = 10,585.01

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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.