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Finding the Fourth Proportional to 22,846.56, 34,274.64 and 8,055.84

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Solution

The fourth proportional to 22,846.56, 34,274.64 and 8,055.84 is: 12,085.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.56 : 34,274.64 = 8,055.84 : x
  2. Step 2: Convert to fraction form
    22,846.56/34,274.64 = 8,055.84/x
  3. Step 3: Cross multiply
    22,846.56x = 34,274.64 × 8,055.84
  4. Step 4: Simplify right side
    22,846.56x = 276,111,015.90
  5. Step 5: Solve for x
    x = 276,111,015.90/22,846.56
  6. Step 6: Final answer
    x = 12,085.45

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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.