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Finding the Fourth Proportional to 4,999.82, 7,498.17 and 1,712.16

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Solution

The fourth proportional to 4,999.82, 7,498.17 and 1,712.16 is: 2,567.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.82 : 7,498.17 = 1,712.16 : x
  2. Step 2: Convert to fraction form
    4,999.82/7,498.17 = 1,712.16/x
  3. Step 3: Cross multiply
    4,999.82x = 7,498.17 × 1,712.16
  4. Step 4: Simplify right side
    4,999.82x = 12,838,066.75
  5. Step 5: Solve for x
    x = 12,838,066.75/4,999.82
  6. Step 6: Final answer
    x = 2,567.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.