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Finding the Fourth Proportional to 6,646.50, 9,971.69 and 1,966.63

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Solution

The fourth proportional to 6,646.50, 9,971.69 and 1,966.63 is: 2,950.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.50 : 9,971.69 = 1,966.63 : x
  2. Step 2: Convert to fraction form
    6,646.50/9,971.69 = 1,966.63/x
  3. Step 3: Cross multiply
    6,646.50x = 9,971.69 × 1,966.63
  4. Step 4: Simplify right side
    6,646.50x = 19,610,574.85
  5. Step 5: Solve for x
    x = 19,610,574.85/6,646.50
  6. Step 6: Final answer
    x = 2,950.51

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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.