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Finding the Fourth Proportional to 12,813.12, 17,680.68 and 7,224.12

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Solution

The fourth proportional to 12,813.12, 17,680.68 and 7,224.12 is: 9,968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.12 : 17,680.68 = 7,224.12 : x
  2. Step 2: Convert to fraction form
    12,813.12/17,680.68 = 7,224.12/x
  3. Step 3: Cross multiply
    12,813.12x = 17,680.68 × 7,224.12
  4. Step 4: Simplify right side
    12,813.12x = 127,727,354.00
  5. Step 5: Solve for x
    x = 127,727,354.00/12,813.12
  6. Step 6: Final answer
    x = 9,968.48

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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.