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Finding the Fourth Proportional to 9,956.76, 13,734.60 and 6,224.28

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Solution

The fourth proportional to 9,956.76, 13,734.60 and 6,224.28 is: 8,585.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.76 : 13,734.60 = 6,224.28 : x
  2. Step 2: Convert to fraction form
    9,956.76/13,734.60 = 6,224.28/x
  3. Step 3: Cross multiply
    9,956.76x = 13,734.60 × 6,224.28
  4. Step 4: Simplify right side
    9,956.76x = 85,487,996.09
  5. Step 5: Solve for x
    x = 85,487,996.09/9,956.76
  6. Step 6: Final answer
    x = 8,585.93

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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.