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Finding the Fourth Proportional to 11,846.16, 17,769.24 and 8,770.32

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Solution

The fourth proportional to 11,846.16, 17,769.24 and 8,770.32 is: 13,155.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.16 : 17,769.24 = 8,770.32 : x
  2. Step 2: Convert to fraction form
    11,846.16/17,769.24 = 8,770.32/x
  3. Step 3: Cross multiply
    11,846.16x = 17,769.24 × 8,770.32
  4. Step 4: Simplify right side
    11,846.16x = 155,841,920.96
  5. Step 5: Solve for x
    x = 155,841,920.96/11,846.16
  6. Step 6: Final answer
    x = 13,155.48

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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.