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Finding the Fourth Proportional to 7,992.98, 12,006.75 and 6,762.86

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Solution

The fourth proportional to 7,992.98, 12,006.75 and 6,762.86 is: 10,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.98 : 12,006.75 = 6,762.86 : x
  2. Step 2: Convert to fraction form
    7,992.98/12,006.75 = 6,762.86/x
  3. Step 3: Cross multiply
    7,992.98x = 12,006.75 × 6,762.86
  4. Step 4: Simplify right side
    7,992.98x = 81,199,969.31
  5. Step 5: Solve for x
    x = 81,199,969.31/7,992.98
  6. Step 6: Final answer
    x = 10,158.91

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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.