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Finding the Fourth Proportional to 8,628.14, 12,964.08 and 5,509.64

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Solution

The fourth proportional to 8,628.14, 12,964.08 and 5,509.64 is: 8,278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,628.14 : 12,964.08 = 5,509.64 : x
  2. Step 2: Convert to fraction form
    8,628.14/12,964.08 = 5,509.64/x
  3. Step 3: Cross multiply
    8,628.14x = 12,964.08 × 5,509.64
  4. Step 4: Simplify right side
    8,628.14x = 71,427,413.73
  5. Step 5: Solve for x
    x = 71,427,413.73/8,628.14
  6. Step 6: Final answer
    x = 8,278.43

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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.