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Finding the Fourth Proportional to 4,843.72, 7,265.58 and 1,765

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Solution

The fourth proportional to 4,843.72, 7,265.58 and 1,765 is: 2,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.72 : 7,265.58 = 1,765 : x
  2. Step 2: Convert to fraction form
    4,843.72/7,265.58 = 1,765/x
  3. Step 3: Cross multiply
    4,843.72x = 7,265.58 × 1,765
  4. Step 4: Simplify right side
    4,843.72x = 12,823,748.70
  5. Step 5: Solve for x
    x = 12,823,748.70/4,843.72
  6. Step 6: Final answer
    x = 2,647.50

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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.