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Finding the Fourth Proportional to 7,054.56, 10,620.72 and 6,102

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Solution

The fourth proportional to 7,054.56, 10,620.72 and 6,102 is: 9,186.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.56 : 10,620.72 = 6,102 : x
  2. Step 2: Convert to fraction form
    7,054.56/10,620.72 = 6,102/x
  3. Step 3: Cross multiply
    7,054.56x = 10,620.72 × 6,102
  4. Step 4: Simplify right side
    7,054.56x = 64,807,633.44
  5. Step 5: Solve for x
    x = 64,807,633.44/7,054.56
  6. Step 6: Final answer
    x = 9,186.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.