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Finding the Fourth Proportional to 7,992.68, 11,978.08 and 4,088.92

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Solution

The fourth proportional to 7,992.68, 11,978.08 and 4,088.92 is: 6,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.68 : 11,978.08 = 4,088.92 : x
  2. Step 2: Convert to fraction form
    7,992.68/11,978.08 = 4,088.92/x
  3. Step 3: Cross multiply
    7,992.68x = 11,978.08 × 4,088.92
  4. Step 4: Simplify right side
    7,992.68x = 48,977,410.87
  5. Step 5: Solve for x
    x = 48,977,410.87/7,992.68
  6. Step 6: Final answer
    x = 6,127.78

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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.