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Finding the Fourth Proportional to 5,952.61, 8,195.90 and 5,054.46

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Solution

The fourth proportional to 5,952.61, 8,195.90 and 5,054.46 is: 6,959.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.61 : 8,195.90 = 5,054.46 : x
  2. Step 2: Convert to fraction form
    5,952.61/8,195.90 = 5,054.46/x
  3. Step 3: Cross multiply
    5,952.61x = 8,195.90 × 5,054.46
  4. Step 4: Simplify right side
    5,952.61x = 41,425,805.58
  5. Step 5: Solve for x
    x = 41,425,805.58/5,952.61
  6. Step 6: Final answer
    x = 6,959.27

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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.