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Finding the Fourth Proportional to 9,186.62, 13,783.16 and 3,343.82

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Solution

The fourth proportional to 9,186.62, 13,783.16 and 3,343.82 is: 5,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.62 : 13,783.16 = 3,343.82 : x
  2. Step 2: Convert to fraction form
    9,186.62/13,783.16 = 3,343.82/x
  3. Step 3: Cross multiply
    9,186.62x = 13,783.16 × 3,343.82
  4. Step 4: Simplify right side
    9,186.62x = 46,088,345.51
  5. Step 5: Solve for x
    x = 46,088,345.51/9,186.62
  6. Step 6: Final answer
    x = 5,016.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.