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Finding the Fourth Proportional to 4,971.08, 7,456.62 and 4,861.73

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Solution

The fourth proportional to 4,971.08, 7,456.62 and 4,861.73 is: 7,292.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.08 : 7,456.62 = 4,861.73 : x
  2. Step 2: Convert to fraction form
    4,971.08/7,456.62 = 4,861.73/x
  3. Step 3: Cross multiply
    4,971.08x = 7,456.62 × 4,861.73
  4. Step 4: Simplify right side
    4,971.08x = 36,252,073.15
  5. Step 5: Solve for x
    x = 36,252,073.15/4,971.08
  6. Step 6: Final answer
    x = 7,292.60

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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.