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Finding the Fourth Proportional to 9,857.72, 14,783.44 and 3,282.16

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Solution

The fourth proportional to 9,857.72, 14,783.44 and 3,282.16 is: 4,922.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.72 : 14,783.44 = 3,282.16 : x
  2. Step 2: Convert to fraction form
    9,857.72/14,783.44 = 3,282.16/x
  3. Step 3: Cross multiply
    9,857.72x = 14,783.44 × 3,282.16
  4. Step 4: Simplify right side
    9,857.72x = 48,521,615.43
  5. Step 5: Solve for x
    x = 48,521,615.43/9,857.72
  6. Step 6: Final answer
    x = 4,922.19

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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.