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Finding the Fourth Proportional to 10,757.92, 14,843.28 and 6,564.64

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Solution

The fourth proportional to 10,757.92, 14,843.28 and 6,564.64 is: 9,057.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.92 : 14,843.28 = 6,564.64 : x
  2. Step 2: Convert to fraction form
    10,757.92/14,843.28 = 6,564.64/x
  3. Step 3: Cross multiply
    10,757.92x = 14,843.28 × 6,564.64
  4. Step 4: Simplify right side
    10,757.92x = 97,440,789.62
  5. Step 5: Solve for x
    x = 97,440,789.62/10,757.92
  6. Step 6: Final answer
    x = 9,057.59

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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.