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Finding the Fourth Proportional to 6,962, 10,447.32 and 4,041.68

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Solution

The fourth proportional to 6,962, 10,447.32 and 4,041.68 is: 6,065.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962 : 10,447.32 = 4,041.68 : x
  2. Step 2: Convert to fraction form
    6,962/10,447.32 = 4,041.68/x
  3. Step 3: Cross multiply
    6,962x = 10,447.32 × 4,041.68
  4. Step 4: Simplify right side
    6,962x = 42,224,724.30
  5. Step 5: Solve for x
    x = 42,224,724.30/6,962
  6. Step 6: Final answer
    x = 6,065.03

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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.