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Finding the Fourth Proportional to 6,682.95, 10,026.16 and 2,002.77

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Solution

The fourth proportional to 6,682.95, 10,026.16 and 2,002.77 is: 3,004.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.95 : 10,026.16 = 2,002.77 : x
  2. Step 2: Convert to fraction form
    6,682.95/10,026.16 = 2,002.77/x
  3. Step 3: Cross multiply
    6,682.95x = 10,026.16 × 2,002.77
  4. Step 4: Simplify right side
    6,682.95x = 20,080,087.46
  5. Step 5: Solve for x
    x = 20,080,087.46/6,682.95
  6. Step 6: Final answer
    x = 3,004.67

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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.