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Finding the Fourth Proportional to 12,571.65, 17,348.93 and 6,906.86

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Solution

The fourth proportional to 12,571.65, 17,348.93 and 6,906.86 is: 9,531.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.65 : 17,348.93 = 6,906.86 : x
  2. Step 2: Convert to fraction form
    12,571.65/17,348.93 = 6,906.86/x
  3. Step 3: Cross multiply
    12,571.65x = 17,348.93 × 6,906.86
  4. Step 4: Simplify right side
    12,571.65x = 119,826,509.38
  5. Step 5: Solve for x
    x = 119,826,509.38/12,571.65
  6. Step 6: Final answer
    x = 9,531.49

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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.