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Finding the Fourth Proportional to 7,074.36, 10,612.80 and 3,178.80

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Solution

The fourth proportional to 7,074.36, 10,612.80 and 3,178.80 is: 4,768.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.36 : 10,612.80 = 3,178.80 : x
  2. Step 2: Convert to fraction form
    7,074.36/10,612.80 = 3,178.80/x
  3. Step 3: Cross multiply
    7,074.36x = 10,612.80 × 3,178.80
  4. Step 4: Simplify right side
    7,074.36x = 33,735,968.64
  5. Step 5: Solve for x
    x = 33,735,968.64/7,074.36
  6. Step 6: Final answer
    x = 4,768.77

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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.