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Finding the Fourth Proportional to 6,709.54, 10,064.30 and 5,713.09

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Solution

The fourth proportional to 6,709.54, 10,064.30 and 5,713.09 is: 8,569.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.54 : 10,064.30 = 5,713.09 : x
  2. Step 2: Convert to fraction form
    6,709.54/10,064.30 = 5,713.09/x
  3. Step 3: Cross multiply
    6,709.54x = 10,064.30 × 5,713.09
  4. Step 4: Simplify right side
    6,709.54x = 57,498,251.69
  5. Step 5: Solve for x
    x = 57,498,251.69/6,709.54
  6. Step 6: Final answer
    x = 8,569.63

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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.