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Finding the Fourth Proportional to 4,723.62, 7,074.62 and 2,260.18

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Solution

The fourth proportional to 4,723.62, 7,074.62 and 2,260.18 is: 3,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.62 : 7,074.62 = 2,260.18 : x
  2. Step 2: Convert to fraction form
    4,723.62/7,074.62 = 2,260.18/x
  3. Step 3: Cross multiply
    4,723.62x = 7,074.62 × 2,260.18
  4. Step 4: Simplify right side
    4,723.62x = 15,989,914.63
  5. Step 5: Solve for x
    x = 15,989,914.63/4,723.62
  6. Step 6: Final answer
    x = 3,385.10

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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.