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Finding the Fourth Proportional to 6,643.65, 9,966.70 and 2,748.36

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Solution

The fourth proportional to 6,643.65, 9,966.70 and 2,748.36 is: 4,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.65 : 9,966.70 = 2,748.36 : x
  2. Step 2: Convert to fraction form
    6,643.65/9,966.70 = 2,748.36/x
  3. Step 3: Cross multiply
    6,643.65x = 9,966.70 × 2,748.36
  4. Step 4: Simplify right side
    6,643.65x = 27,392,079.61
  5. Step 5: Solve for x
    x = 27,392,079.61/6,643.65
  6. Step 6: Final answer
    x = 4,123.05

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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.