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Finding the Fourth Proportional to 4,854.22, 6,697.23 and 2,965.12

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Solution

The fourth proportional to 4,854.22, 6,697.23 and 2,965.12 is: 4,090.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.22 : 6,697.23 = 2,965.12 : x
  2. Step 2: Convert to fraction form
    4,854.22/6,697.23 = 2,965.12/x
  3. Step 3: Cross multiply
    4,854.22x = 6,697.23 × 2,965.12
  4. Step 4: Simplify right side
    4,854.22x = 19,858,090.62
  5. Step 5: Solve for x
    x = 19,858,090.62/4,854.22
  6. Step 6: Final answer
    x = 4,090.89

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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.