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Finding the Fourth Proportional to 10,394.54, 14,342.82 and 5,918.38

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Solution

The fourth proportional to 10,394.54, 14,342.82 and 5,918.38 is: 8,166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.54 : 14,342.82 = 5,918.38 : x
  2. Step 2: Convert to fraction form
    10,394.54/14,342.82 = 5,918.38/x
  3. Step 3: Cross multiply
    10,394.54x = 14,342.82 × 5,918.38
  4. Step 4: Simplify right side
    10,394.54x = 84,886,314.95
  5. Step 5: Solve for x
    x = 84,886,314.95/10,394.54
  6. Step 6: Final answer
    x = 8,166.43

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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.