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Finding the Fourth Proportional to 18,457.50, 25,471.38 and 10,074

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Solution

The fourth proportional to 18,457.50, 25,471.38 and 10,074 is: 13,902.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,457.50 : 25,471.38 = 10,074 : x
  2. Step 2: Convert to fraction form
    18,457.50/25,471.38 = 10,074/x
  3. Step 3: Cross multiply
    18,457.50x = 25,471.38 × 10,074
  4. Step 4: Simplify right side
    18,457.50x = 256,598,682.12
  5. Step 5: Solve for x
    x = 256,598,682.12/18,457.50
  6. Step 6: Final answer
    x = 13,902.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.