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Finding the Fourth Proportional to 13,178.80, 19,768.20 and 4,412.80

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Solution

The fourth proportional to 13,178.80, 19,768.20 and 4,412.80 is: 6,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.80 : 19,768.20 = 4,412.80 : x
  2. Step 2: Convert to fraction form
    13,178.80/19,768.20 = 4,412.80/x
  3. Step 3: Cross multiply
    13,178.80x = 19,768.20 × 4,412.80
  4. Step 4: Simplify right side
    13,178.80x = 87,233,112.96
  5. Step 5: Solve for x
    x = 87,233,112.96/13,178.80
  6. Step 6: Final answer
    x = 6,619.20

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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.