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Finding the Fourth Proportional to 8,252.60, 12,378.90 and 2,409.80

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Solution

The fourth proportional to 8,252.60, 12,378.90 and 2,409.80 is: 3,614.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.60 : 12,378.90 = 2,409.80 : x
  2. Step 2: Convert to fraction form
    8,252.60/12,378.90 = 2,409.80/x
  3. Step 3: Cross multiply
    8,252.60x = 12,378.90 × 2,409.80
  4. Step 4: Simplify right side
    8,252.60x = 29,830,673.22
  5. Step 5: Solve for x
    x = 29,830,673.22/8,252.60
  6. Step 6: Final answer
    x = 3,614.70

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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.