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Finding the Fourth Proportional to 10,765.64, 16,148.46 and 2,974.46

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Solution

The fourth proportional to 10,765.64, 16,148.46 and 2,974.46 is: 4,461.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.64 : 16,148.46 = 2,974.46 : x
  2. Step 2: Convert to fraction form
    10,765.64/16,148.46 = 2,974.46/x
  3. Step 3: Cross multiply
    10,765.64x = 16,148.46 × 2,974.46
  4. Step 4: Simplify right side
    10,765.64x = 48,032,867.59
  5. Step 5: Solve for x
    x = 48,032,867.59/10,765.64
  6. Step 6: Final answer
    x = 4,461.68

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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.