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Finding the Fourth Proportional to 9,857.92, 14,783.71 and 3,282.34

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Solution

The fourth proportional to 9,857.92, 14,783.71 and 3,282.34 is: 4,922.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.92 : 14,783.71 = 3,282.34 : x
  2. Step 2: Convert to fraction form
    9,857.92/14,783.71 = 3,282.34/x
  3. Step 3: Cross multiply
    9,857.92x = 14,783.71 × 3,282.34
  4. Step 4: Simplify right side
    9,857.92x = 48,525,162.68
  5. Step 5: Solve for x
    x = 48,525,162.68/9,857.92
  6. Step 6: Final answer
    x = 4,922.45

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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.