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Finding the Fourth Proportional to 6,383.77, 9,574.56 and 1,765.69

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Solution

The fourth proportional to 6,383.77, 9,574.56 and 1,765.69 is: 2,648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.77 : 9,574.56 = 1,765.69 : x
  2. Step 2: Convert to fraction form
    6,383.77/9,574.56 = 1,765.69/x
  3. Step 3: Cross multiply
    6,383.77x = 9,574.56 × 1,765.69
  4. Step 4: Simplify right side
    6,383.77x = 16,905,680.91
  5. Step 5: Solve for x
    x = 16,905,680.91/6,383.77
  6. Step 6: Final answer
    x = 2,648.23

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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.