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Finding the Fourth Proportional to 7,701.54, 11,491.89 and 7,231.38

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Solution

The fourth proportional to 7,701.54, 11,491.89 and 7,231.38 is: 10,790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.54 : 11,491.89 = 7,231.38 : x
  2. Step 2: Convert to fraction form
    7,701.54/11,491.89 = 7,231.38/x
  3. Step 3: Cross multiply
    7,701.54x = 11,491.89 × 7,231.38
  4. Step 4: Simplify right side
    7,701.54x = 83,102,223.51
  5. Step 5: Solve for x
    x = 83,102,223.51/7,701.54
  6. Step 6: Final answer
    x = 10,790.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.