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Finding the Fourth Proportional to 4,652.78, 6,969.74 and 2,305.71

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Solution

The fourth proportional to 4,652.78, 6,969.74 and 2,305.71 is: 3,453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.78 : 6,969.74 = 2,305.71 : x
  2. Step 2: Convert to fraction form
    4,652.78/6,969.74 = 2,305.71/x
  3. Step 3: Cross multiply
    4,652.78x = 6,969.74 × 2,305.71
  4. Step 4: Simplify right side
    4,652.78x = 16,070,187.69
  5. Step 5: Solve for x
    x = 16,070,187.69/4,652.78
  6. Step 6: Final answer
    x = 3,453.89

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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.