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Finding the Fourth Proportional to 9,182.73, 12,669.96 and 5,824.32

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Solution

The fourth proportional to 9,182.73, 12,669.96 and 5,824.32 is: 8,036.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.73 : 12,669.96 = 5,824.32 : x
  2. Step 2: Convert to fraction form
    9,182.73/12,669.96 = 5,824.32/x
  3. Step 3: Cross multiply
    9,182.73x = 12,669.96 × 5,824.32
  4. Step 4: Simplify right side
    9,182.73x = 73,793,879.35
  5. Step 5: Solve for x
    x = 73,793,879.35/9,182.73
  6. Step 6: Final answer
    x = 8,036.16

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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.