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Finding the Fourth Proportional to 8,409.56, 12,614.40 and 2,566.40

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Solution

The fourth proportional to 8,409.56, 12,614.40 and 2,566.40 is: 3,849.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.56 : 12,614.40 = 2,566.40 : x
  2. Step 2: Convert to fraction form
    8,409.56/12,614.40 = 2,566.40/x
  3. Step 3: Cross multiply
    8,409.56x = 12,614.40 × 2,566.40
  4. Step 4: Simplify right side
    8,409.56x = 32,373,533.09
  5. Step 5: Solve for x
    x = 32,373,533.09/8,409.56
  6. Step 6: Final answer
    x = 3,849.61

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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.