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Finding the Fourth Proportional to 6,825.95, 9,416.12 and 4,561.19

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Solution

The fourth proportional to 6,825.95, 9,416.12 and 4,561.19 is: 6,291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.95 : 9,416.12 = 4,561.19 : x
  2. Step 2: Convert to fraction form
    6,825.95/9,416.12 = 4,561.19/x
  3. Step 3: Cross multiply
    6,825.95x = 9,416.12 × 4,561.19
  4. Step 4: Simplify right side
    6,825.95x = 42,948,712.38
  5. Step 5: Solve for x
    x = 42,948,712.38/6,825.95
  6. Step 6: Final answer
    x = 6,291.98

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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.