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Finding the Fourth Proportional to 11,783.40, 16,259.13 and 7,809.90

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Solution

The fourth proportional to 11,783.40, 16,259.13 and 7,809.90 is: 10,776.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.40 : 16,259.13 = 7,809.90 : x
  2. Step 2: Convert to fraction form
    11,783.40/16,259.13 = 7,809.90/x
  3. Step 3: Cross multiply
    11,783.40x = 16,259.13 × 7,809.90
  4. Step 4: Simplify right side
    11,783.40x = 126,982,179.39
  5. Step 5: Solve for x
    x = 126,982,179.39/11,783.40
  6. Step 6: Final answer
    x = 10,776.36

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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.