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Finding the Fourth Proportional to 6,272.52, 9,407.82 and 1,655.88

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Solution

The fourth proportional to 6,272.52, 9,407.82 and 1,655.88 is: 2,483.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.52 : 9,407.82 = 1,655.88 : x
  2. Step 2: Convert to fraction form
    6,272.52/9,407.82 = 1,655.88/x
  3. Step 3: Cross multiply
    6,272.52x = 9,407.82 × 1,655.88
  4. Step 4: Simplify right side
    6,272.52x = 15,578,220.98
  5. Step 5: Solve for x
    x = 15,578,220.98/6,272.52
  6. Step 6: Final answer
    x = 2,483.57

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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.