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Finding the Fourth Proportional to 4,992.29, 7,444.39 and 4,747.03

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Solution

The fourth proportional to 4,992.29, 7,444.39 and 4,747.03 is: 7,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.29 : 7,444.39 = 4,747.03 : x
  2. Step 2: Convert to fraction form
    4,992.29/7,444.39 = 4,747.03/x
  3. Step 3: Cross multiply
    4,992.29x = 7,444.39 × 4,747.03
  4. Step 4: Simplify right side
    4,992.29x = 35,338,742.66
  5. Step 5: Solve for x
    x = 35,338,742.66/4,992.29
  6. Step 6: Final answer
    x = 7,078.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.