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Finding the Fourth Proportional to 12,842.04, 17,721.12 and 7,251.96

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Solution

The fourth proportional to 12,842.04, 17,721.12 and 7,251.96 is: 10,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.04 : 17,721.12 = 7,251.96 : x
  2. Step 2: Convert to fraction form
    12,842.04/17,721.12 = 7,251.96/x
  3. Step 3: Cross multiply
    12,842.04x = 17,721.12 × 7,251.96
  4. Step 4: Simplify right side
    12,842.04x = 128,512,853.40
  5. Step 5: Solve for x
    x = 128,512,853.40/12,842.04
  6. Step 6: Final answer
    x = 10,007.20

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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.