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Finding the Fourth Proportional to 6,283, 8,709.19 and 6,178.42

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Solution

The fourth proportional to 6,283, 8,709.19 and 6,178.42 is: 8,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283 : 8,709.19 = 6,178.42 : x
  2. Step 2: Convert to fraction form
    6,283/8,709.19 = 6,178.42/x
  3. Step 3: Cross multiply
    6,283x = 8,709.19 × 6,178.42
  4. Step 4: Simplify right side
    6,283x = 53,809,033.68
  5. Step 5: Solve for x
    x = 53,809,033.68/6,283
  6. Step 6: Final answer
    x = 8,564.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.