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Finding the Fourth Proportional to 6,913.06, 10,372.02 and 3,016.96

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Solution

The fourth proportional to 6,913.06, 10,372.02 and 3,016.96 is: 4,526.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.06 : 10,372.02 = 3,016.96 : x
  2. Step 2: Convert to fraction form
    6,913.06/10,372.02 = 3,016.96/x
  3. Step 3: Cross multiply
    6,913.06x = 10,372.02 × 3,016.96
  4. Step 4: Simplify right side
    6,913.06x = 31,291,969.46
  5. Step 5: Solve for x
    x = 31,291,969.46/6,913.06
  6. Step 6: Final answer
    x = 4,526.50

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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.