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Finding the Fourth Proportional to 11,571.06, 15,968.04 and 6,265.86

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Solution

The fourth proportional to 11,571.06, 15,968.04 and 6,265.86 is: 8,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.06 : 15,968.04 = 6,265.86 : x
  2. Step 2: Convert to fraction form
    11,571.06/15,968.04 = 6,265.86/x
  3. Step 3: Cross multiply
    11,571.06x = 15,968.04 × 6,265.86
  4. Step 4: Simplify right side
    11,571.06x = 100,053,503.11
  5. Step 5: Solve for x
    x = 100,053,503.11/11,571.06
  6. Step 6: Final answer
    x = 8,646.87

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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.