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Finding the Fourth Proportional to 5,071.82, 6,982.96 and 4,473.80

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Solution

The fourth proportional to 5,071.82, 6,982.96 and 4,473.80 is: 6,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.82 : 6,982.96 = 4,473.80 : x
  2. Step 2: Convert to fraction form
    5,071.82/6,982.96 = 4,473.80/x
  3. Step 3: Cross multiply
    5,071.82x = 6,982.96 × 4,473.80
  4. Step 4: Simplify right side
    5,071.82x = 31,240,366.45
  5. Step 5: Solve for x
    x = 31,240,366.45/5,071.82
  6. Step 6: Final answer
    x = 6,159.60

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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.