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Finding the Fourth Proportional to 6,906.72, 10,346.28 and 4,710

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Solution

The fourth proportional to 6,906.72, 10,346.28 and 4,710 is: 7,055.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.72 : 10,346.28 = 4,710 : x
  2. Step 2: Convert to fraction form
    6,906.72/10,346.28 = 4,710/x
  3. Step 3: Cross multiply
    6,906.72x = 10,346.28 × 4,710
  4. Step 4: Simplify right side
    6,906.72x = 48,730,978.80
  5. Step 5: Solve for x
    x = 48,730,978.80/6,906.72
  6. Step 6: Final answer
    x = 7,055.59

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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.