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Finding the Fourth Proportional to 12,867.30, 17,757.03 and 7,202.40

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Solution

The fourth proportional to 12,867.30, 17,757.03 and 7,202.40 is: 9,939.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,867.30 : 17,757.03 = 7,202.40 : x
  2. Step 2: Convert to fraction form
    12,867.30/17,757.03 = 7,202.40/x
  3. Step 3: Cross multiply
    12,867.30x = 17,757.03 × 7,202.40
  4. Step 4: Simplify right side
    12,867.30x = 127,893,232.87
  5. Step 5: Solve for x
    x = 127,893,232.87/12,867.30
  6. Step 6: Final answer
    x = 9,939.40

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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.