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Finding the Fourth Proportional to 7,952.56, 10,974.44 and 4,415.68

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Solution

The fourth proportional to 7,952.56, 10,974.44 and 4,415.68 is: 6,093.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.56 : 10,974.44 = 4,415.68 : x
  2. Step 2: Convert to fraction form
    7,952.56/10,974.44 = 4,415.68/x
  3. Step 3: Cross multiply
    7,952.56x = 10,974.44 × 4,415.68
  4. Step 4: Simplify right side
    7,952.56x = 48,459,615.22
  5. Step 5: Solve for x
    x = 48,459,615.22/7,952.56
  6. Step 6: Final answer
    x = 6,093.59

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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.