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Finding the Fourth Proportional to 6,535.68, 9,798.01 and 2,835.13

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Solution

The fourth proportional to 6,535.68, 9,798.01 and 2,835.13 is: 4,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.68 : 9,798.01 = 2,835.13 : x
  2. Step 2: Convert to fraction form
    6,535.68/9,798.01 = 2,835.13/x
  3. Step 3: Cross multiply
    6,535.68x = 9,798.01 × 2,835.13
  4. Step 4: Simplify right side
    6,535.68x = 27,778,632.09
  5. Step 5: Solve for x
    x = 27,778,632.09/6,535.68
  6. Step 6: Final answer
    x = 4,250.30

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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.