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Finding the Fourth Proportional to 6,543, 9,817.65 and 3,256.38

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Solution

The fourth proportional to 6,543, 9,817.65 and 3,256.38 is: 4,886.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543 : 9,817.65 = 3,256.38 : x
  2. Step 2: Convert to fraction form
    6,543/9,817.65 = 3,256.38/x
  3. Step 3: Cross multiply
    6,543x = 9,817.65 × 3,256.38
  4. Step 4: Simplify right side
    6,543x = 31,969,999.11
  5. Step 5: Solve for x
    x = 31,969,999.11/6,543
  6. Step 6: Final answer
    x = 4,886.14

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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.