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Finding the Fourth Proportional to 11,776.40, 17,664.60 and 11,200.40

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Solution

The fourth proportional to 11,776.40, 17,664.60 and 11,200.40 is: 16,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.40 : 17,664.60 = 11,200.40 : x
  2. Step 2: Convert to fraction form
    11,776.40/17,664.60 = 11,200.40/x
  3. Step 3: Cross multiply
    11,776.40x = 17,664.60 × 11,200.40
  4. Step 4: Simplify right side
    11,776.40x = 197,850,585.84
  5. Step 5: Solve for x
    x = 197,850,585.84/11,776.40
  6. Step 6: Final answer
    x = 16,800.60

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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.