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Finding the Fourth Proportional to 6,535.74, 9,798.10 and 2,835.18

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Solution

The fourth proportional to 6,535.74, 9,798.10 and 2,835.18 is: 4,250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.74 : 9,798.10 = 2,835.18 : x
  2. Step 2: Convert to fraction form
    6,535.74/9,798.10 = 2,835.18/x
  3. Step 3: Cross multiply
    6,535.74x = 9,798.10 × 2,835.18
  4. Step 4: Simplify right side
    6,535.74x = 27,779,342.51
  5. Step 5: Solve for x
    x = 27,779,342.51/6,535.74
  6. Step 6: Final answer
    x = 4,250.38

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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.