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Finding the Fourth Proportional to 8,409.60, 12,614.40 and 4,024.80

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Solution

The fourth proportional to 8,409.60, 12,614.40 and 4,024.80 is: 6,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.60 : 12,614.40 = 4,024.80 : x
  2. Step 2: Convert to fraction form
    8,409.60/12,614.40 = 4,024.80/x
  3. Step 3: Cross multiply
    8,409.60x = 12,614.40 × 4,024.80
  4. Step 4: Simplify right side
    8,409.60x = 50,770,437.12
  5. Step 5: Solve for x
    x = 50,770,437.12/8,409.60
  6. Step 6: Final answer
    x = 6,037.20

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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.