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Finding the Fourth Proportional to 6,706.40, 10,027.20 and 4,956.80

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Solution

The fourth proportional to 6,706.40, 10,027.20 and 4,956.80 is: 7,411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.40 : 10,027.20 = 4,956.80 : x
  2. Step 2: Convert to fraction form
    6,706.40/10,027.20 = 4,956.80/x
  3. Step 3: Cross multiply
    6,706.40x = 10,027.20 × 4,956.80
  4. Step 4: Simplify right side
    6,706.40x = 49,702,824.96
  5. Step 5: Solve for x
    x = 49,702,824.96/6,706.40
  6. Step 6: Final answer
    x = 7,411.25

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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.