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Finding the Fourth Proportional to 6,535.68, 9,805.17 and 2,837.01

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Solution

The fourth proportional to 6,535.68, 9,805.17 and 2,837.01 is: 4,256.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.68 : 9,805.17 = 2,837.01 : x
  2. Step 2: Convert to fraction form
    6,535.68/9,805.17 = 2,837.01/x
  3. Step 3: Cross multiply
    6,535.68x = 9,805.17 × 2,837.01
  4. Step 4: Simplify right side
    6,535.68x = 27,817,365.34
  5. Step 5: Solve for x
    x = 27,817,365.34/6,535.68
  6. Step 6: Final answer
    x = 4,256.23

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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.