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Finding the Fourth Proportional to 6,952.26, 9,594.05 and 3,765.51

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Solution

The fourth proportional to 6,952.26, 9,594.05 and 3,765.51 is: 5,196.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.26 : 9,594.05 = 3,765.51 : x
  2. Step 2: Convert to fraction form
    6,952.26/9,594.05 = 3,765.51/x
  3. Step 3: Cross multiply
    6,952.26x = 9,594.05 × 3,765.51
  4. Step 4: Simplify right side
    6,952.26x = 36,126,472.39
  5. Step 5: Solve for x
    x = 36,126,472.39/6,952.26
  6. Step 6: Final answer
    x = 5,196.36

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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.