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Finding the Fourth Proportional to 6,563.54, 9,848.02 and 3,638.36

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Solution

The fourth proportional to 6,563.54, 9,848.02 and 3,638.36 is: 5,459.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.54 : 9,848.02 = 3,638.36 : x
  2. Step 2: Convert to fraction form
    6,563.54/9,848.02 = 3,638.36/x
  3. Step 3: Cross multiply
    6,563.54x = 9,848.02 × 3,638.36
  4. Step 4: Simplify right side
    6,563.54x = 35,830,642.05
  5. Step 5: Solve for x
    x = 35,830,642.05/6,563.54
  6. Step 6: Final answer
    x = 5,459.04

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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.