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Finding the Fourth Proportional to 7,687.14, 10,592.01 and 6,196.74

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Solution

The fourth proportional to 7,687.14, 10,592.01 and 6,196.74 is: 8,538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.14 : 10,592.01 = 6,196.74 : x
  2. Step 2: Convert to fraction form
    7,687.14/10,592.01 = 6,196.74/x
  3. Step 3: Cross multiply
    7,687.14x = 10,592.01 × 6,196.74
  4. Step 4: Simplify right side
    7,687.14x = 65,635,932.05
  5. Step 5: Solve for x
    x = 65,635,932.05/7,687.14
  6. Step 6: Final answer
    x = 8,538.41

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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.