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Finding the Fourth Proportional to 10,175.01, 14,049.64 and 6,775.34

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Solution

The fourth proportional to 10,175.01, 14,049.64 and 6,775.34 is: 9,355.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.01 : 14,049.64 = 6,775.34 : x
  2. Step 2: Convert to fraction form
    10,175.01/14,049.64 = 6,775.34/x
  3. Step 3: Cross multiply
    10,175.01x = 14,049.64 × 6,775.34
  4. Step 4: Simplify right side
    10,175.01x = 95,191,054.00
  5. Step 5: Solve for x
    x = 95,191,054.00/10,175.01
  6. Step 6: Final answer
    x = 9,355.38

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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.