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Finding the Fourth Proportional to 8,205.63, 12,244.41 and 7,322.05

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Solution

The fourth proportional to 8,205.63, 12,244.41 and 7,322.05 is: 10,925.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.63 : 12,244.41 = 7,322.05 : x
  2. Step 2: Convert to fraction form
    8,205.63/12,244.41 = 7,322.05/x
  3. Step 3: Cross multiply
    8,205.63x = 12,244.41 × 7,322.05
  4. Step 4: Simplify right side
    8,205.63x = 89,654,145.63
  5. Step 5: Solve for x
    x = 89,654,145.63/8,205.63
  6. Step 6: Final answer
    x = 10,925.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.