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Finding the Fourth Proportional to 8,032.87, 11,994.63 and 7,087.94

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Solution

The fourth proportional to 8,032.87, 11,994.63 and 7,087.94 is: 10,583.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.87 : 11,994.63 = 7,087.94 : x
  2. Step 2: Convert to fraction form
    8,032.87/11,994.63 = 7,087.94/x
  3. Step 3: Cross multiply
    8,032.87x = 11,994.63 × 7,087.94
  4. Step 4: Simplify right side
    8,032.87x = 85,017,217.76
  5. Step 5: Solve for x
    x = 85,017,217.76/8,032.87
  6. Step 6: Final answer
    x = 10,583.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.