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Finding the Fourth Proportional to 6,277.28, 8,662.62 and 3,482.78

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Solution

The fourth proportional to 6,277.28, 8,662.62 and 3,482.78 is: 4,806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.28 : 8,662.62 = 3,482.78 : x
  2. Step 2: Convert to fraction form
    6,277.28/8,662.62 = 3,482.78/x
  3. Step 3: Cross multiply
    6,277.28x = 8,662.62 × 3,482.78
  4. Step 4: Simplify right side
    6,277.28x = 30,169,999.68
  5. Step 5: Solve for x
    x = 30,169,999.68/6,277.28
  6. Step 6: Final answer
    x = 4,806.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.