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Finding the Fourth Proportional to 9,392.56, 12,956.10 and 6,205.96

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Solution

The fourth proportional to 9,392.56, 12,956.10 and 6,205.96 is: 8,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.56 : 12,956.10 = 6,205.96 : x
  2. Step 2: Convert to fraction form
    9,392.56/12,956.10 = 6,205.96/x
  3. Step 3: Cross multiply
    9,392.56x = 12,956.10 × 6,205.96
  4. Step 4: Simplify right side
    9,392.56x = 80,405,038.36
  5. Step 5: Solve for x
    x = 80,405,038.36/9,392.56
  6. Step 6: Final answer
    x = 8,560.50

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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.