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Finding the Fourth Proportional to 8,353.47, 11,523.69 and 5,696.67

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Solution

The fourth proportional to 8,353.47, 11,523.69 and 5,696.67 is: 7,858.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.47 : 11,523.69 = 5,696.67 : x
  2. Step 2: Convert to fraction form
    8,353.47/11,523.69 = 5,696.67/x
  3. Step 3: Cross multiply
    8,353.47x = 11,523.69 × 5,696.67
  4. Step 4: Simplify right side
    8,353.47x = 65,646,659.11
  5. Step 5: Solve for x
    x = 65,646,659.11/8,353.47
  6. Step 6: Final answer
    x = 7,858.61

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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.