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Finding the Fourth Proportional to 8,464.71, 11,669.13 and 5,939.00

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Solution

The fourth proportional to 8,464.71, 11,669.13 and 5,939.00 is: 8,187.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.71 : 11,669.13 = 5,939.00 : x
  2. Step 2: Convert to fraction form
    8,464.71/11,669.13 = 5,939.00/x
  3. Step 3: Cross multiply
    8,464.71x = 11,669.13 × 5,939.00
  4. Step 4: Simplify right side
    8,464.71x = 69,302,933.90
  5. Step 5: Solve for x
    x = 69,302,933.90/8,464.71
  6. Step 6: Final answer
    x = 8,187.28

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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.