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Finding the Fourth Proportional to 6,241.76, 8,610.86 and 4,114.60

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Solution

The fourth proportional to 6,241.76, 8,610.86 and 4,114.60 is: 5,676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.76 : 8,610.86 = 4,114.60 : x
  2. Step 2: Convert to fraction form
    6,241.76/8,610.86 = 4,114.60/x
  3. Step 3: Cross multiply
    6,241.76x = 8,610.86 × 4,114.60
  4. Step 4: Simplify right side
    6,241.76x = 35,430,210.17
  5. Step 5: Solve for x
    x = 35,430,210.17/6,241.76
  6. Step 6: Final answer
    x = 5,676.32

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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.