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Finding the Fourth Proportional to 6,502.44, 9,752.80 and 2,603.92

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Solution

The fourth proportional to 6,502.44, 9,752.80 and 2,603.92 is: 3,905.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.44 : 9,752.80 = 2,603.92 : x
  2. Step 2: Convert to fraction form
    6,502.44/9,752.80 = 2,603.92/x
  3. Step 3: Cross multiply
    6,502.44x = 9,752.80 × 2,603.92
  4. Step 4: Simplify right side
    6,502.44x = 25,395,510.98
  5. Step 5: Solve for x
    x = 25,395,510.98/6,502.44
  6. Step 6: Final answer
    x = 3,905.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.