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Finding the Fourth Proportional to 6,444.70, 9,660.30 and 2,698.63

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Solution

The fourth proportional to 6,444.70, 9,660.30 and 2,698.63 is: 4,045.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.70 : 9,660.30 = 2,698.63 : x
  2. Step 2: Convert to fraction form
    6,444.70/9,660.30 = 2,698.63/x
  3. Step 3: Cross multiply
    6,444.70x = 9,660.30 × 2,698.63
  4. Step 4: Simplify right side
    6,444.70x = 26,069,575.39
  5. Step 5: Solve for x
    x = 26,069,575.39/6,444.70
  6. Step 6: Final answer
    x = 4,045.12

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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.