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Finding the Fourth Proportional to 10,659.56, 14,712.78 and 6,467

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Solution

The fourth proportional to 10,659.56, 14,712.78 and 6,467 is: 8,926.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.56 : 14,712.78 = 6,467 : x
  2. Step 2: Convert to fraction form
    10,659.56/14,712.78 = 6,467/x
  3. Step 3: Cross multiply
    10,659.56x = 14,712.78 × 6,467
  4. Step 4: Simplify right side
    10,659.56x = 95,147,548.26
  5. Step 5: Solve for x
    x = 95,147,548.26/10,659.56
  6. Step 6: Final answer
    x = 8,926.03

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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.