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Finding the Fourth Proportional to 8,007.68, 12,011.52 and 5,968.64

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Solution

The fourth proportional to 8,007.68, 12,011.52 and 5,968.64 is: 8,952.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.68 : 12,011.52 = 5,968.64 : x
  2. Step 2: Convert to fraction form
    8,007.68/12,011.52 = 5,968.64/x
  3. Step 3: Cross multiply
    8,007.68x = 12,011.52 × 5,968.64
  4. Step 4: Simplify right side
    8,007.68x = 71,692,438.73
  5. Step 5: Solve for x
    x = 71,692,438.73/8,007.68
  6. Step 6: Final answer
    x = 8,952.96

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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.