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Finding the Fourth Proportional to 11,783.40, 17,669.70 and 5,206.20

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Solution

The fourth proportional to 11,783.40, 17,669.70 and 5,206.20 is: 7,806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.40 : 17,669.70 = 5,206.20 : x
  2. Step 2: Convert to fraction form
    11,783.40/17,669.70 = 5,206.20/x
  3. Step 3: Cross multiply
    11,783.40x = 17,669.70 × 5,206.20
  4. Step 4: Simplify right side
    11,783.40x = 91,991,992.14
  5. Step 5: Solve for x
    x = 91,991,992.14/11,783.40
  6. Step 6: Final answer
    x = 7,806.91

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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.