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Finding the Fourth Proportional to 5,675.82, 7,829.88 and 4,414.68

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Solution

The fourth proportional to 5,675.82, 7,829.88 and 4,414.68 is: 6,090.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.82 : 7,829.88 = 4,414.68 : x
  2. Step 2: Convert to fraction form
    5,675.82/7,829.88 = 4,414.68/x
  3. Step 3: Cross multiply
    5,675.82x = 7,829.88 × 4,414.68
  4. Step 4: Simplify right side
    5,675.82x = 34,566,414.64
  5. Step 5: Solve for x
    x = 34,566,414.64/5,675.82
  6. Step 6: Final answer
    x = 6,090.12

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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.