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Finding the Fourth Proportional to 7,074.75, 10,612.14 and 2,457.75

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Solution

The fourth proportional to 7,074.75, 10,612.14 and 2,457.75 is: 3,686.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.75 : 10,612.14 = 2,457.75 : x
  2. Step 2: Convert to fraction form
    7,074.75/10,612.14 = 2,457.75/x
  3. Step 3: Cross multiply
    7,074.75x = 10,612.14 × 2,457.75
  4. Step 4: Simplify right side
    7,074.75x = 26,081,987.09
  5. Step 5: Solve for x
    x = 26,081,987.09/7,074.75
  6. Step 6: Final answer
    x = 3,686.63

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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.