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Finding the Fourth Proportional to 9,195.50, 13,751.18 and 6,857.10

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Solution

The fourth proportional to 9,195.50, 13,751.18 and 6,857.10 is: 10,254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.50 : 13,751.18 = 6,857.10 : x
  2. Step 2: Convert to fraction form
    9,195.50/13,751.18 = 6,857.10/x
  3. Step 3: Cross multiply
    9,195.50x = 13,751.18 × 6,857.10
  4. Step 4: Simplify right side
    9,195.50x = 94,293,216.38
  5. Step 5: Solve for x
    x = 94,293,216.38/9,195.50
  6. Step 6: Final answer
    x = 10,254.28

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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.