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Finding the Fourth Proportional to 17,584.70, 26,376.98 and 7,196.46

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Solution

The fourth proportional to 17,584.70, 26,376.98 and 7,196.46 is: 10,794.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,584.70 : 26,376.98 = 7,196.46 : x
  2. Step 2: Convert to fraction form
    17,584.70/26,376.98 = 7,196.46/x
  3. Step 3: Cross multiply
    17,584.70x = 26,376.98 × 7,196.46
  4. Step 4: Simplify right side
    17,584.70x = 189,820,881.49
  5. Step 5: Solve for x
    x = 189,820,881.49/17,584.70
  6. Step 6: Final answer
    x = 10,794.66

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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.