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Finding the Fourth Proportional to 9,954.50, 13,737.09 and 6,179.19

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Solution

The fourth proportional to 9,954.50, 13,737.09 and 6,179.19 is: 8,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.50 : 13,737.09 = 6,179.19 : x
  2. Step 2: Convert to fraction form
    9,954.50/13,737.09 = 6,179.19/x
  3. Step 3: Cross multiply
    9,954.50x = 13,737.09 × 6,179.19
  4. Step 4: Simplify right side
    9,954.50x = 84,884,060.81
  5. Step 5: Solve for x
    x = 84,884,060.81/9,954.50
  6. Step 6: Final answer
    x = 8,527.21

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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.