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Finding the Fourth Proportional to 8,296.54, 12,444.64 and 2,056.56

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Solution

The fourth proportional to 8,296.54, 12,444.64 and 2,056.56 is: 3,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.54 : 12,444.64 = 2,056.56 : x
  2. Step 2: Convert to fraction form
    8,296.54/12,444.64 = 2,056.56/x
  3. Step 3: Cross multiply
    8,296.54x = 12,444.64 × 2,056.56
  4. Step 4: Simplify right side
    8,296.54x = 25,593,148.84
  5. Step 5: Solve for x
    x = 25,593,148.84/8,296.54
  6. Step 6: Final answer
    x = 3,084.80

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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.