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Finding the Fourth Proportional to 7,657.44, 11,475.78 and 6,889.35

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Solution

The fourth proportional to 7,657.44, 11,475.78 and 6,889.35 is: 10,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.44 : 11,475.78 = 6,889.35 : x
  2. Step 2: Convert to fraction form
    7,657.44/11,475.78 = 6,889.35/x
  3. Step 3: Cross multiply
    7,657.44x = 11,475.78 × 6,889.35
  4. Step 4: Simplify right side
    7,657.44x = 79,060,682.14
  5. Step 5: Solve for x
    x = 79,060,682.14/7,657.44
  6. Step 6: Final answer
    x = 10,324.69

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1.5x scale

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.