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Finding the Fourth Proportional to 11,769.51, 16,242.04 and 6,464.44

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Solution

The fourth proportional to 11,769.51, 16,242.04 and 6,464.44 is: 8,920.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.51 : 16,242.04 = 6,464.44 : x
  2. Step 2: Convert to fraction form
    11,769.51/16,242.04 = 6,464.44/x
  3. Step 3: Cross multiply
    11,769.51x = 16,242.04 × 6,464.44
  4. Step 4: Simplify right side
    11,769.51x = 104,995,693.06
  5. Step 5: Solve for x
    x = 104,995,693.06/11,769.51
  6. Step 6: Final answer
    x = 8,920.99

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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.