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Finding the Fourth Proportional to 10,791.54, 14,892 and 6,077.34

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Solution

The fourth proportional to 10,791.54, 14,892 and 6,077.34 is: 8,386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.54 : 14,892 = 6,077.34 : x
  2. Step 2: Convert to fraction form
    10,791.54/14,892 = 6,077.34/x
  3. Step 3: Cross multiply
    10,791.54x = 14,892 × 6,077.34
  4. Step 4: Simplify right side
    10,791.54x = 90,503,747.28
  5. Step 5: Solve for x
    x = 90,503,747.28/10,791.54
  6. Step 6: Final answer
    x = 8,386.55

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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.