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Finding the Fourth Proportional to 6,101.60, 9,145.31 and 4,021.11

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Solution

The fourth proportional to 6,101.60, 9,145.31 and 4,021.11 is: 6,026.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.60 : 9,145.31 = 4,021.11 : x
  2. Step 2: Convert to fraction form
    6,101.60/9,145.31 = 4,021.11/x
  3. Step 3: Cross multiply
    6,101.60x = 9,145.31 × 4,021.11
  4. Step 4: Simplify right side
    6,101.60x = 36,774,277.39
  5. Step 5: Solve for x
    x = 36,774,277.39/6,101.60
  6. Step 6: Final answer
    x = 6,026.99

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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.