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Finding the Fourth Proportional to 8,329.73, 11,503.64 and 7,205.27

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Solution

The fourth proportional to 8,329.73, 11,503.64 and 7,205.27 is: 9,950.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.73 : 11,503.64 = 7,205.27 : x
  2. Step 2: Convert to fraction form
    8,329.73/11,503.64 = 7,205.27/x
  3. Step 3: Cross multiply
    8,329.73x = 11,503.64 × 7,205.27
  4. Step 4: Simplify right side
    8,329.73x = 82,886,796.16
  5. Step 5: Solve for x
    x = 82,886,796.16/8,329.73
  6. Step 6: Final answer
    x = 9,950.72

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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.