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Finding the Fourth Proportional to 6,560.28, 9,054.06 and 4,207.38

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Solution

The fourth proportional to 6,560.28, 9,054.06 and 4,207.38 is: 5,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.28 : 9,054.06 = 4,207.38 : x
  2. Step 2: Convert to fraction form
    6,560.28/9,054.06 = 4,207.38/x
  3. Step 3: Cross multiply
    6,560.28x = 9,054.06 × 4,207.38
  4. Step 4: Simplify right side
    6,560.28x = 38,093,870.96
  5. Step 5: Solve for x
    x = 38,093,870.96/6,560.28
  6. Step 6: Final answer
    x = 5,806.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.