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Finding the Fourth Proportional to 6,567, 9,842.28 and 3,281.01

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Solution

The fourth proportional to 6,567, 9,842.28 and 3,281.01 is: 4,917.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567 : 9,842.28 = 3,281.01 : x
  2. Step 2: Convert to fraction form
    6,567/9,842.28 = 3,281.01/x
  3. Step 3: Cross multiply
    6,567x = 9,842.28 × 3,281.01
  4. Step 4: Simplify right side
    6,567x = 32,292,619.10
  5. Step 5: Solve for x
    x = 32,292,619.10/6,567
  6. Step 6: Final answer
    x = 4,917.41

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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.