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Finding the Fourth Proportional to 6,753, 10,123.34 and 2,368.06

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Solution

The fourth proportional to 6,753, 10,123.34 and 2,368.06 is: 3,549.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753 : 10,123.34 = 2,368.06 : x
  2. Step 2: Convert to fraction form
    6,753/10,123.34 = 2,368.06/x
  3. Step 3: Cross multiply
    6,753x = 10,123.34 × 2,368.06
  4. Step 4: Simplify right side
    6,753x = 23,972,676.52
  5. Step 5: Solve for x
    x = 23,972,676.52/6,753
  6. Step 6: Final answer
    x = 3,549.93

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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.