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Finding the Fourth Proportional to 10,648.67, 14,695.65 and 6,173.82

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Solution

The fourth proportional to 10,648.67, 14,695.65 and 6,173.82 is: 8,520.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.67 : 14,695.65 = 6,173.82 : x
  2. Step 2: Convert to fraction form
    10,648.67/14,695.65 = 6,173.82/x
  3. Step 3: Cross multiply
    10,648.67x = 14,695.65 × 6,173.82
  4. Step 4: Simplify right side
    10,648.67x = 90,728,315.25
  5. Step 5: Solve for x
    x = 90,728,315.25/10,648.67
  6. Step 6: Final answer
    x = 8,520.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.