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Finding the Fourth Proportional to 6,995.86, 10,491.30 and 2,315

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Solution

The fourth proportional to 6,995.86, 10,491.30 and 2,315 is: 3,471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.86 : 10,491.30 = 2,315 : x
  2. Step 2: Convert to fraction form
    6,995.86/10,491.30 = 2,315/x
  3. Step 3: Cross multiply
    6,995.86x = 10,491.30 × 2,315
  4. Step 4: Simplify right side
    6,995.86x = 24,287,359.50
  5. Step 5: Solve for x
    x = 24,287,359.50/6,995.86
  6. Step 6: Final answer
    x = 3,471.68

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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.