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Finding the Fourth Proportional to 10,537, 14,541.06 and 6,346.06

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Solution

The fourth proportional to 10,537, 14,541.06 and 6,346.06 is: 8,757.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537 : 14,541.06 = 6,346.06 : x
  2. Step 2: Convert to fraction form
    10,537/14,541.06 = 6,346.06/x
  3. Step 3: Cross multiply
    10,537x = 14,541.06 × 6,346.06
  4. Step 4: Simplify right side
    10,537x = 92,278,439.22
  5. Step 5: Solve for x
    x = 92,278,439.22/10,537
  6. Step 6: Final answer
    x = 8,757.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.