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Finding the Fourth Proportional to 6,535.65, 9,801.51 and 1,856.05

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Solution

The fourth proportional to 6,535.65, 9,801.51 and 1,856.05 is: 2,783.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.65 : 9,801.51 = 1,856.05 : x
  2. Step 2: Convert to fraction form
    6,535.65/9,801.51 = 1,856.05/x
  3. Step 3: Cross multiply
    6,535.65x = 9,801.51 × 1,856.05
  4. Step 4: Simplify right side
    6,535.65x = 18,192,092.64
  5. Step 5: Solve for x
    x = 18,192,092.64/6,535.65
  6. Step 6: Final answer
    x = 2,783.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.