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Finding the Fourth Proportional to 8,973.26, 12,382.99 and 5,197.64

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Solution

The fourth proportional to 8,973.26, 12,382.99 and 5,197.64 is: 7,172.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973.26 : 12,382.99 = 5,197.64 : x
  2. Step 2: Convert to fraction form
    8,973.26/12,382.99 = 5,197.64/x
  3. Step 3: Cross multiply
    8,973.26x = 12,382.99 × 5,197.64
  4. Step 4: Simplify right side
    8,973.26x = 64,362,305.58
  5. Step 5: Solve for x
    x = 64,362,305.58/8,973.26
  6. Step 6: Final answer
    x = 7,172.68

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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.