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Finding the Fourth Proportional to 6,646.20, 9,969.81 and 1,715.84

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Solution

The fourth proportional to 6,646.20, 9,969.81 and 1,715.84 is: 2,573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.20 : 9,969.81 = 1,715.84 : x
  2. Step 2: Convert to fraction form
    6,646.20/9,969.81 = 1,715.84/x
  3. Step 3: Cross multiply
    6,646.20x = 9,969.81 × 1,715.84
  4. Step 4: Simplify right side
    6,646.20x = 17,106,548.94
  5. Step 5: Solve for x
    x = 17,106,548.94/6,646.20
  6. Step 6: Final answer
    x = 2,573.88

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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.