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Finding the Fourth Proportional to 6,275, 9,405.14 and 2,572.28

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Solution

The fourth proportional to 6,275, 9,405.14 and 2,572.28 is: 3,855.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275 : 9,405.14 = 2,572.28 : x
  2. Step 2: Convert to fraction form
    6,275/9,405.14 = 2,572.28/x
  3. Step 3: Cross multiply
    6,275x = 9,405.14 × 2,572.28
  4. Step 4: Simplify right side
    6,275x = 24,192,653.52
  5. Step 5: Solve for x
    x = 24,192,653.52/6,275
  6. Step 6: Final answer
    x = 3,855.40

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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.