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Finding the Fourth Proportional to 5,765.88, 7,948.62 and 4,107

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Solution

The fourth proportional to 5,765.88, 7,948.62 and 4,107 is: 5,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.88 : 7,948.62 = 4,107 : x
  2. Step 2: Convert to fraction form
    5,765.88/7,948.62 = 4,107/x
  3. Step 3: Cross multiply
    5,765.88x = 7,948.62 × 4,107
  4. Step 4: Simplify right side
    5,765.88x = 32,644,982.34
  5. Step 5: Solve for x
    x = 32,644,982.34/5,765.88
  6. Step 6: Final answer
    x = 5,661.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.