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Finding the Fourth Proportional to 6,698.64, 10,035.16 and 4,066.96

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Solution

The fourth proportional to 6,698.64, 10,035.16 and 4,066.96 is: 6,092.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.64 : 10,035.16 = 4,066.96 : x
  2. Step 2: Convert to fraction form
    6,698.64/10,035.16 = 4,066.96/x
  3. Step 3: Cross multiply
    6,698.64x = 10,035.16 × 4,066.96
  4. Step 4: Simplify right side
    6,698.64x = 40,812,594.31
  5. Step 5: Solve for x
    x = 40,812,594.31/6,698.64
  6. Step 6: Final answer
    x = 6,092.67

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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.