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Finding the Fourth Proportional to 6,687.84, 10,032.88 and 2,070.88

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Solution

The fourth proportional to 6,687.84, 10,032.88 and 2,070.88 is: 3,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.84 : 10,032.88 = 2,070.88 : x
  2. Step 2: Convert to fraction form
    6,687.84/10,032.88 = 2,070.88/x
  3. Step 3: Cross multiply
    6,687.84x = 10,032.88 × 2,070.88
  4. Step 4: Simplify right side
    6,687.84x = 20,776,890.53
  5. Step 5: Solve for x
    x = 20,776,890.53/6,687.84
  6. Step 6: Final answer
    x = 3,106.67

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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.