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Finding the Fourth Proportional to 12,716.54, 17,544.75 and 7,338.14

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Solution

The fourth proportional to 12,716.54, 17,544.75 and 7,338.14 is: 10,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.54 : 17,544.75 = 7,338.14 : x
  2. Step 2: Convert to fraction form
    12,716.54/17,544.75 = 7,338.14/x
  3. Step 3: Cross multiply
    12,716.54x = 17,544.75 × 7,338.14
  4. Step 4: Simplify right side
    12,716.54x = 128,745,831.77
  5. Step 5: Solve for x
    x = 128,745,831.77/12,716.54
  6. Step 6: Final answer
    x = 10,124.28

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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.