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Finding the Fourth Proportional to 7,062.80, 9,748.01 and 4,672.82

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Solution

The fourth proportional to 7,062.80, 9,748.01 and 4,672.82 is: 6,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.80 : 9,748.01 = 4,672.82 : x
  2. Step 2: Convert to fraction form
    7,062.80/9,748.01 = 4,672.82/x
  3. Step 3: Cross multiply
    7,062.80x = 9,748.01 × 4,672.82
  4. Step 4: Simplify right side
    7,062.80x = 45,550,732.14
  5. Step 5: Solve for x
    x = 45,550,732.14/7,062.80
  6. Step 6: Final answer
    x = 6,449.38

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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.