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Finding the Fourth Proportional to 8,054.96, 12,082.98 and 2,790.50

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Solution

The fourth proportional to 8,054.96, 12,082.98 and 2,790.50 is: 4,185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,054.96 : 12,082.98 = 2,790.50 : x
  2. Step 2: Convert to fraction form
    8,054.96/12,082.98 = 2,790.50/x
  3. Step 3: Cross multiply
    8,054.96x = 12,082.98 × 2,790.50
  4. Step 4: Simplify right side
    8,054.96x = 33,717,518.51
  5. Step 5: Solve for x
    x = 33,717,518.51/8,054.96
  6. Step 6: Final answer
    x = 4,185.93

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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.