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Finding the Fourth Proportional to 4,971.20, 7,456.80 and 4,728.20

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Solution

The fourth proportional to 4,971.20, 7,456.80 and 4,728.20 is: 7,092.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.20 : 7,456.80 = 4,728.20 : x
  2. Step 2: Convert to fraction form
    4,971.20/7,456.80 = 4,728.20/x
  3. Step 3: Cross multiply
    4,971.20x = 7,456.80 × 4,728.20
  4. Step 4: Simplify right side
    4,971.20x = 35,257,241.76
  5. Step 5: Solve for x
    x = 35,257,241.76/4,971.20
  6. Step 6: Final answer
    x = 7,092.30

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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.