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Finding the Fourth Proportional to 6,241.04, 9,359.74 and 5,142.68

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Solution

The fourth proportional to 6,241.04, 9,359.74 and 5,142.68 is: 7,712.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.04 : 9,359.74 = 5,142.68 : x
  2. Step 2: Convert to fraction form
    6,241.04/9,359.74 = 5,142.68/x
  3. Step 3: Cross multiply
    6,241.04x = 9,359.74 × 5,142.68
  4. Step 4: Simplify right side
    6,241.04x = 48,134,147.70
  5. Step 5: Solve for x
    x = 48,134,147.70/6,241.04
  6. Step 6: Final answer
    x = 7,712.52

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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.