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Finding the Fourth Proportional to 6,341.69, 9,510.01 and 2,641.41

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Solution

The fourth proportional to 6,341.69, 9,510.01 and 2,641.41 is: 3,961.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.69 : 9,510.01 = 2,641.41 : x
  2. Step 2: Convert to fraction form
    6,341.69/9,510.01 = 2,641.41/x
  3. Step 3: Cross multiply
    6,341.69x = 9,510.01 × 2,641.41
  4. Step 4: Simplify right side
    6,341.69x = 25,119,828.91
  5. Step 5: Solve for x
    x = 25,119,828.91/6,341.69
  6. Step 6: Final answer
    x = 3,961.06

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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.