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Finding the Fourth Proportional to 9,480.48, 14,220.66 and 5,100

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Solution

The fourth proportional to 9,480.48, 14,220.66 and 5,100 is: 7,649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.48 : 14,220.66 = 5,100 : x
  2. Step 2: Convert to fraction form
    9,480.48/14,220.66 = 5,100/x
  3. Step 3: Cross multiply
    9,480.48x = 14,220.66 × 5,100
  4. Step 4: Simplify right side
    9,480.48x = 72,525,366
  5. Step 5: Solve for x
    x = 72,525,366/9,480.48
  6. Step 6: Final answer
    x = 7,649.97

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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.