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Finding the Fourth Proportional to 10,624, 15,936.09 and 3,698.50

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Solution

The fourth proportional to 10,624, 15,936.09 and 3,698.50 is: 5,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624 : 15,936.09 = 3,698.50 : x
  2. Step 2: Convert to fraction form
    10,624/15,936.09 = 3,698.50/x
  3. Step 3: Cross multiply
    10,624x = 15,936.09 × 3,698.50
  4. Step 4: Simplify right side
    10,624x = 58,939,628.87
  5. Step 5: Solve for x
    x = 58,939,628.87/10,624
  6. Step 6: Final answer
    x = 5,547.78

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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.