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Finding the Fourth Proportional to 7,760.82, 10,709.70 and 4,223.94

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Solution

The fourth proportional to 7,760.82, 10,709.70 and 4,223.94 is: 5,828.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.82 : 10,709.70 = 4,223.94 : x
  2. Step 2: Convert to fraction form
    7,760.82/10,709.70 = 4,223.94/x
  3. Step 3: Cross multiply
    7,760.82x = 10,709.70 × 4,223.94
  4. Step 4: Simplify right side
    7,760.82x = 45,237,130.22
  5. Step 5: Solve for x
    x = 45,237,130.22/7,760.82
  6. Step 6: Final answer
    x = 5,828.91

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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.