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Finding the Fourth Proportional to 7,157.48, 10,734.06 and 4,235

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Solution

The fourth proportional to 7,157.48, 10,734.06 and 4,235 is: 6,351.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.48 : 10,734.06 = 4,235 : x
  2. Step 2: Convert to fraction form
    7,157.48/10,734.06 = 4,235/x
  3. Step 3: Cross multiply
    7,157.48x = 10,734.06 × 4,235
  4. Step 4: Simplify right side
    7,157.48x = 45,458,744.10
  5. Step 5: Solve for x
    x = 45,458,744.10/7,157.48
  6. Step 6: Final answer
    x = 6,351.22

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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.