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Finding the Fourth Proportional to 6,101.55, 9,134.10 and 5,741.10

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Solution

The fourth proportional to 6,101.55, 9,134.10 and 5,741.10 is: 8,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.55 : 9,134.10 = 5,741.10 : x
  2. Step 2: Convert to fraction form
    6,101.55/9,134.10 = 5,741.10/x
  3. Step 3: Cross multiply
    6,101.55x = 9,134.10 × 5,741.10
  4. Step 4: Simplify right side
    6,101.55x = 52,439,781.51
  5. Step 5: Solve for x
    x = 52,439,781.51/6,101.55
  6. Step 6: Final answer
    x = 8,594.50

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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.