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Finding the Fourth Proportional to 8,192.40, 12,288.60 and 2,036.40

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Solution

The fourth proportional to 8,192.40, 12,288.60 and 2,036.40 is: 3,054.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.40 : 12,288.60 = 2,036.40 : x
  2. Step 2: Convert to fraction form
    8,192.40/12,288.60 = 2,036.40/x
  3. Step 3: Cross multiply
    8,192.40x = 12,288.60 × 2,036.40
  4. Step 4: Simplify right side
    8,192.40x = 25,024,458.96
  5. Step 5: Solve for x
    x = 25,024,458.96/8,192.40
  6. Step 6: Final answer
    x = 3,054.60

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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.