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Finding the Fourth Proportional to 8,973.83, 12,382.97 and 5,198.22

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Solution

The fourth proportional to 8,973.83, 12,382.97 and 5,198.22 is: 7,173.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973.83 : 12,382.97 = 5,198.22 : x
  2. Step 2: Convert to fraction form
    8,973.83/12,382.97 = 5,198.22/x
  3. Step 3: Cross multiply
    8,973.83x = 12,382.97 × 5,198.22
  4. Step 4: Simplify right side
    8,973.83x = 64,369,402.31
  5. Step 5: Solve for x
    x = 64,369,402.31/8,973.83
  6. Step 6: Final answer
    x = 7,173.01

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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.