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Finding the Fourth Proportional to 9,182.93, 12,672.45 and 5,205.31

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Solution

The fourth proportional to 9,182.93, 12,672.45 and 5,205.31 is: 7,183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.93 : 12,672.45 = 5,205.31 : x
  2. Step 2: Convert to fraction form
    9,182.93/12,672.45 = 5,205.31/x
  3. Step 3: Cross multiply
    9,182.93x = 12,672.45 × 5,205.31
  4. Step 4: Simplify right side
    9,182.93x = 65,963,999.03
  5. Step 5: Solve for x
    x = 65,963,999.03/9,182.93
  6. Step 6: Final answer
    x = 7,183.33

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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.