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Finding the Fourth Proportional to 11,346.58, 15,653.91 and 8,369.47

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Solution

The fourth proportional to 11,346.58, 15,653.91 and 8,369.47 is: 11,546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.58 : 15,653.91 = 8,369.47 : x
  2. Step 2: Convert to fraction form
    11,346.58/15,653.91 = 8,369.47/x
  3. Step 3: Cross multiply
    11,346.58x = 15,653.91 × 8,369.47
  4. Step 4: Simplify right side
    11,346.58x = 131,014,930.13
  5. Step 5: Solve for x
    x = 131,014,930.13/11,346.58
  6. Step 6: Final answer
    x = 11,546.64

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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.