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Finding the Fourth Proportional to 6,535.53, 9,802.51 and 1,855.96

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Solution

The fourth proportional to 6,535.53, 9,802.51 and 1,855.96 is: 2,783.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.53 : 9,802.51 = 1,855.96 : x
  2. Step 2: Convert to fraction form
    6,535.53/9,802.51 = 1,855.96/x
  3. Step 3: Cross multiply
    6,535.53x = 9,802.51 × 1,855.96
  4. Step 4: Simplify right side
    6,535.53x = 18,193,066.46
  5. Step 5: Solve for x
    x = 18,193,066.46/6,535.53
  6. Step 6: Final answer
    x = 2,783.72

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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.