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Finding the Fourth Proportional to 22,576, 33,864.64 and 6,160

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Solution

The fourth proportional to 22,576, 33,864.64 and 6,160 is: 9,240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576 : 33,864.64 = 6,160 : x
  2. Step 2: Convert to fraction form
    22,576/33,864.64 = 6,160/x
  3. Step 3: Cross multiply
    22,576x = 33,864.64 × 6,160
  4. Step 4: Simplify right side
    22,576x = 208,606,182.40
  5. Step 5: Solve for x
    x = 208,606,182.40/22,576
  6. Step 6: Final answer
    x = 9,240.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.