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Finding the Fourth Proportional to 6,277.52, 9,415.28 and 1,660.88

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Solution

The fourth proportional to 6,277.52, 9,415.28 and 1,660.88 is: 2,491.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.52 : 9,415.28 = 1,660.88 : x
  2. Step 2: Convert to fraction form
    6,277.52/9,415.28 = 1,660.88/x
  3. Step 3: Cross multiply
    6,277.52x = 9,415.28 × 1,660.88
  4. Step 4: Simplify right side
    6,277.52x = 15,637,650.25
  5. Step 5: Solve for x
    x = 15,637,650.25/6,277.52
  6. Step 6: Final answer
    x = 2,491.06

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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.