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Finding the Fourth Proportional to 3,133.62, 4,700.52 and 825.12

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Solution

The fourth proportional to 3,133.62, 4,700.52 and 825.12 is: 1,237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.62 : 4,700.52 = 825.12 : x
  2. Step 2: Convert to fraction form
    3,133.62/4,700.52 = 825.12/x
  3. Step 3: Cross multiply
    3,133.62x = 4,700.52 × 825.12
  4. Step 4: Simplify right side
    3,133.62x = 3,878,493.06
  5. Step 5: Solve for x
    x = 3,878,493.06/3,133.62
  6. Step 6: Final answer
    x = 1,237.70

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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.