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Finding the Fourth Proportional to 6,534, 9,805.32 and 3,071.52

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Solution

The fourth proportional to 6,534, 9,805.32 and 3,071.52 is: 4,609.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534 : 9,805.32 = 3,071.52 : x
  2. Step 2: Convert to fraction form
    6,534/9,805.32 = 3,071.52/x
  3. Step 3: Cross multiply
    6,534x = 9,805.32 × 3,071.52
  4. Step 4: Simplify right side
    6,534x = 30,117,236.49
  5. Step 5: Solve for x
    x = 30,117,236.49/6,534
  6. Step 6: Final answer
    x = 4,609.31

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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.