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Finding the Fourth Proportional to 13,574.70, 18,730.17 and 11,458.17

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Solution

The fourth proportional to 13,574.70, 18,730.17 and 11,458.17 is: 15,809.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.70 : 18,730.17 = 11,458.17 : x
  2. Step 2: Convert to fraction form
    13,574.70/18,730.17 = 11,458.17/x
  3. Step 3: Cross multiply
    13,574.70x = 18,730.17 × 11,458.17
  4. Step 4: Simplify right side
    13,574.70x = 214,613,471.99
  5. Step 5: Solve for x
    x = 214,613,471.99/13,574.70
  6. Step 6: Final answer
    x = 15,809.81

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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.