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Finding the Fourth Proportional to 12,232.59, 16,878.07 and 7,197.03

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Solution

The fourth proportional to 12,232.59, 16,878.07 and 7,197.03 is: 9,930.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.59 : 16,878.07 = 7,197.03 : x
  2. Step 2: Convert to fraction form
    12,232.59/16,878.07 = 7,197.03/x
  3. Step 3: Cross multiply
    12,232.59x = 16,878.07 × 7,197.03
  4. Step 4: Simplify right side
    12,232.59x = 121,471,976.13
  5. Step 5: Solve for x
    x = 121,471,976.13/12,232.59
  6. Step 6: Final answer
    x = 9,930.19

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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.