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Finding the Fourth Proportional to 5,972.88, 8,952 and 4,507.44

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Solution

The fourth proportional to 5,972.88, 8,952 and 4,507.44 is: 6,755.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.88 : 8,952 = 4,507.44 : x
  2. Step 2: Convert to fraction form
    5,972.88/8,952 = 4,507.44/x
  3. Step 3: Cross multiply
    5,972.88x = 8,952 × 4,507.44
  4. Step 4: Simplify right side
    5,972.88x = 40,350,602.88
  5. Step 5: Solve for x
    x = 40,350,602.88/5,972.88
  6. Step 6: Final answer
    x = 6,755.64

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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.