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Finding the Fourth Proportional to 6,554.94, 9,817.01 and 5,699.72

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Solution

The fourth proportional to 6,554.94, 9,817.01 and 5,699.72 is: 8,536.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.94 : 9,817.01 = 5,699.72 : x
  2. Step 2: Convert to fraction form
    6,554.94/9,817.01 = 5,699.72/x
  3. Step 3: Cross multiply
    6,554.94x = 9,817.01 × 5,699.72
  4. Step 4: Simplify right side
    6,554.94x = 55,954,202.50
  5. Step 5: Solve for x
    x = 55,954,202.50/6,554.94
  6. Step 6: Final answer
    x = 8,536.19

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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.