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Finding the Fourth Proportional to 11,141.47, 16,712.22 and 4,566.47

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Solution

The fourth proportional to 11,141.47, 16,712.22 and 4,566.47 is: 6,849.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.47 : 16,712.22 = 4,566.47 : x
  2. Step 2: Convert to fraction form
    11,141.47/16,712.22 = 4,566.47/x
  3. Step 3: Cross multiply
    11,141.47x = 16,712.22 × 4,566.47
  4. Step 4: Simplify right side
    11,141.47x = 76,315,851.26
  5. Step 5: Solve for x
    x = 76,315,851.26/11,141.47
  6. Step 6: Final answer
    x = 6,849.71

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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.