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Finding the Fourth Proportional to 6,525.10, 9,813 and 5,442.94

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Solution

The fourth proportional to 6,525.10, 9,813 and 5,442.94 is: 8,185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.10 : 9,813 = 5,442.94 : x
  2. Step 2: Convert to fraction form
    6,525.10/9,813 = 5,442.94/x
  3. Step 3: Cross multiply
    6,525.10x = 9,813 × 5,442.94
  4. Step 4: Simplify right side
    6,525.10x = 53,411,570.22
  5. Step 5: Solve for x
    x = 53,411,570.22/6,525.10
  6. Step 6: Final answer
    x = 8,185.56

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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.