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Finding the Fourth Proportional to 6,698.28, 10,042.50 and 4,066.40

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Solution

The fourth proportional to 6,698.28, 10,042.50 and 4,066.40 is: 6,096.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.28 : 10,042.50 = 4,066.40 : x
  2. Step 2: Convert to fraction form
    6,698.28/10,042.50 = 4,066.40/x
  3. Step 3: Cross multiply
    6,698.28x = 10,042.50 × 4,066.40
  4. Step 4: Simplify right side
    6,698.28x = 40,836,822
  5. Step 5: Solve for x
    x = 40,836,822/6,698.28
  6. Step 6: Final answer
    x = 6,096.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.