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Finding the Fourth Proportional to 11,769.52, 16,242.16 and 6,464.24

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Solution

The fourth proportional to 11,769.52, 16,242.16 and 6,464.24 is: 8,920.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.52 : 16,242.16 = 6,464.24 : x
  2. Step 2: Convert to fraction form
    11,769.52/16,242.16 = 6,464.24/x
  3. Step 3: Cross multiply
    11,769.52x = 16,242.16 × 6,464.24
  4. Step 4: Simplify right side
    11,769.52x = 104,993,220.36
  5. Step 5: Solve for x
    x = 104,993,220.36/11,769.52
  6. Step 6: Final answer
    x = 8,920.77

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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.