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Finding the Fourth Proportional to 6,700, 9,246.82 and 3,905.50

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Solution

The fourth proportional to 6,700, 9,246.82 and 3,905.50 is: 5,390.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700 : 9,246.82 = 3,905.50 : x
  2. Step 2: Convert to fraction form
    6,700/9,246.82 = 3,905.50/x
  3. Step 3: Cross multiply
    6,700x = 9,246.82 × 3,905.50
  4. Step 4: Simplify right side
    6,700x = 36,113,455.51
  5. Step 5: Solve for x
    x = 36,113,455.51/6,700
  6. Step 6: Final answer
    x = 5,390.07

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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.