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Finding the Fourth Proportional to 6,700.10, 9,246.01 and 4,046.90

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Solution

The fourth proportional to 6,700.10, 9,246.01 and 4,046.90 is: 5,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.10 : 9,246.01 = 4,046.90 : x
  2. Step 2: Convert to fraction form
    6,700.10/9,246.01 = 4,046.90/x
  3. Step 3: Cross multiply
    6,700.10x = 9,246.01 × 4,046.90
  4. Step 4: Simplify right side
    6,700.10x = 37,417,677.87
  5. Step 5: Solve for x
    x = 37,417,677.87/6,700.10
  6. Step 6: Final answer
    x = 5,584.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.