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Finding the Fourth Proportional to 6,978.60, 10,467.84 and 1,784.46

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Solution

The fourth proportional to 6,978.60, 10,467.84 and 1,784.46 is: 2,676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.60 : 10,467.84 = 1,784.46 : x
  2. Step 2: Convert to fraction form
    6,978.60/10,467.84 = 1,784.46/x
  3. Step 3: Cross multiply
    6,978.60x = 10,467.84 × 1,784.46
  4. Step 4: Simplify right side
    6,978.60x = 18,679,441.77
  5. Step 5: Solve for x
    x = 18,679,441.77/6,978.60
  6. Step 6: Final answer
    x = 2,676.67

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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.