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Finding the Fourth Proportional to 7,205.76, 9,943.97 and 4,518.38

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Solution

The fourth proportional to 7,205.76, 9,943.97 and 4,518.38 is: 6,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.76 : 9,943.97 = 4,518.38 : x
  2. Step 2: Convert to fraction form
    7,205.76/9,943.97 = 4,518.38/x
  3. Step 3: Cross multiply
    7,205.76x = 9,943.97 × 4,518.38
  4. Step 4: Simplify right side
    7,205.76x = 44,930,637.44
  5. Step 5: Solve for x
    x = 44,930,637.44/7,205.76
  6. Step 6: Final answer
    x = 6,235.38

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1.5x scale

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.