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Finding the Fourth Proportional to 8,114.70, 12,164.85 and 4,824.30

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Solution

The fourth proportional to 8,114.70, 12,164.85 and 4,824.30 is: 7,232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.70 : 12,164.85 = 4,824.30 : x
  2. Step 2: Convert to fraction form
    8,114.70/12,164.85 = 4,824.30/x
  3. Step 3: Cross multiply
    8,114.70x = 12,164.85 × 4,824.30
  4. Step 4: Simplify right side
    8,114.70x = 58,686,885.86
  5. Step 5: Solve for x
    x = 58,686,885.86/8,114.70
  6. Step 6: Final answer
    x = 7,232.17

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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.