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Finding the Fourth Proportional to 13,734, 18,952.92 and 7,446.38

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Solution

The fourth proportional to 13,734, 18,952.92 and 7,446.38 is: 10,276.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734 : 18,952.92 = 7,446.38 : x
  2. Step 2: Convert to fraction form
    13,734/18,952.92 = 7,446.38/x
  3. Step 3: Cross multiply
    13,734x = 18,952.92 × 7,446.38
  4. Step 4: Simplify right side
    13,734x = 141,130,549.67
  5. Step 5: Solve for x
    x = 141,130,549.67/13,734
  6. Step 6: Final answer
    x = 10,276.00

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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.