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Finding the Fourth Proportional to 12,820.80, 19,231.80 and 4,056.42

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Solution

The fourth proportional to 12,820.80, 19,231.80 and 4,056.42 is: 6,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.80 : 19,231.80 = 4,056.42 : x
  2. Step 2: Convert to fraction form
    12,820.80/19,231.80 = 4,056.42/x
  3. Step 3: Cross multiply
    12,820.80x = 19,231.80 × 4,056.42
  4. Step 4: Simplify right side
    12,820.80x = 78,012,258.16
  5. Step 5: Solve for x
    x = 78,012,258.16/12,820.80
  6. Step 6: Final answer
    x = 6,084.82

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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.