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Finding the Fourth Proportional to 6,525, 9,781.02 and 3,056.04

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Solution

The fourth proportional to 6,525, 9,781.02 and 3,056.04 is: 4,581.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525 : 9,781.02 = 3,056.04 : x
  2. Step 2: Convert to fraction form
    6,525/9,781.02 = 3,056.04/x
  3. Step 3: Cross multiply
    6,525x = 9,781.02 × 3,056.04
  4. Step 4: Simplify right side
    6,525x = 29,891,188.36
  5. Step 5: Solve for x
    x = 29,891,188.36/6,525
  6. Step 6: Final answer
    x = 4,581.03

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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.