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Finding the Fourth Proportional to 13,708.13, 18,918.09 and 7,737.62

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Solution

The fourth proportional to 13,708.13, 18,918.09 and 7,737.62 is: 10,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.13 : 18,918.09 = 7,737.62 : x
  2. Step 2: Convert to fraction form
    13,708.13/18,918.09 = 7,737.62/x
  3. Step 3: Cross multiply
    13,708.13x = 18,918.09 × 7,737.62
  4. Step 4: Simplify right side
    13,708.13x = 146,380,896.96
  5. Step 5: Solve for x
    x = 146,380,896.96/13,708.13
  6. Step 6: Final answer
    x = 10,678.40

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1.5x scale

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.