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Finding the Fourth Proportional to 10,297.99, 15,449.58 and 4,755.22

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Solution

The fourth proportional to 10,297.99, 15,449.58 and 4,755.22 is: 7,134.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.99 : 15,449.58 = 4,755.22 : x
  2. Step 2: Convert to fraction form
    10,297.99/15,449.58 = 4,755.22/x
  3. Step 3: Cross multiply
    10,297.99x = 15,449.58 × 4,755.22
  4. Step 4: Simplify right side
    10,297.99x = 73,466,151.81
  5. Step 5: Solve for x
    x = 73,466,151.81/10,297.99
  6. Step 6: Final answer
    x = 7,134.03

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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.