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Finding the Fourth Proportional to 6,502.98, 9,746.37 and 2,989.25

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Solution

The fourth proportional to 6,502.98, 9,746.37 and 2,989.25 is: 4,480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.98 : 9,746.37 = 2,989.25 : x
  2. Step 2: Convert to fraction form
    6,502.98/9,746.37 = 2,989.25/x
  3. Step 3: Cross multiply
    6,502.98x = 9,746.37 × 2,989.25
  4. Step 4: Simplify right side
    6,502.98x = 29,134,287.79
  5. Step 5: Solve for x
    x = 29,134,287.79/6,502.98
  6. Step 6: Final answer
    x = 4,480.14

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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.