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Finding the Fourth Proportional to 3,133.38, 4,700.07 and 824.88

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Solution

The fourth proportional to 3,133.38, 4,700.07 and 824.88 is: 1,237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.38 : 4,700.07 = 824.88 : x
  2. Step 2: Convert to fraction form
    3,133.38/4,700.07 = 824.88/x
  3. Step 3: Cross multiply
    3,133.38x = 4,700.07 × 824.88
  4. Step 4: Simplify right side
    3,133.38x = 3,876,993.74
  5. Step 5: Solve for x
    x = 3,876,993.74/3,133.38
  6. Step 6: Final answer
    x = 1,237.32

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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.