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Finding the Fourth Proportional to 7,748.81, 11,665.39 and 7,059.91

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Solution

The fourth proportional to 7,748.81, 11,665.39 and 7,059.91 is: 10,628.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.81 : 11,665.39 = 7,059.91 : x
  2. Step 2: Convert to fraction form
    7,748.81/11,665.39 = 7,059.91/x
  3. Step 3: Cross multiply
    7,748.81x = 11,665.39 × 7,059.91
  4. Step 4: Simplify right side
    7,748.81x = 82,356,556.70
  5. Step 5: Solve for x
    x = 82,356,556.70/7,748.81
  6. Step 6: Final answer
    x = 10,628.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.