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Finding the Fourth Proportional to 4,971.75, 7,456.69 and 1,460.98

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Solution

The fourth proportional to 4,971.75, 7,456.69 and 1,460.98 is: 2,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.75 : 7,456.69 = 1,460.98 : x
  2. Step 2: Convert to fraction form
    4,971.75/7,456.69 = 1,460.98/x
  3. Step 3: Cross multiply
    4,971.75x = 7,456.69 × 1,460.98
  4. Step 4: Simplify right side
    4,971.75x = 10,894,074.96
  5. Step 5: Solve for x
    x = 10,894,074.96/4,971.75
  6. Step 6: Final answer
    x = 2,191.20

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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.