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Finding the Fourth Proportional to 3,283.11, 4,924.65 and 974.61

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Solution

The fourth proportional to 3,283.11, 4,924.65 and 974.61 is: 1,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.11 : 4,924.65 = 974.61 : x
  2. Step 2: Convert to fraction form
    3,283.11/4,924.65 = 974.61/x
  3. Step 3: Cross multiply
    3,283.11x = 4,924.65 × 974.61
  4. Step 4: Simplify right side
    3,283.11x = 4,799,613.14
  5. Step 5: Solve for x
    x = 4,799,613.14/3,283.11
  6. Step 6: Final answer
    x = 1,461.91

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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.