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Finding the Fourth Proportional to 12,584.03, 17,364.60 and 7,277.81

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Solution

The fourth proportional to 12,584.03, 17,364.60 and 7,277.81 is: 10,042.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.03 : 17,364.60 = 7,277.81 : x
  2. Step 2: Convert to fraction form
    12,584.03/17,364.60 = 7,277.81/x
  3. Step 3: Cross multiply
    12,584.03x = 17,364.60 × 7,277.81
  4. Step 4: Simplify right side
    12,584.03x = 126,376,172.70
  5. Step 5: Solve for x
    x = 126,376,172.70/12,584.03
  6. Step 6: Final answer
    x = 10,042.59

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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.