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Finding the Fourth Proportional to 6,918.84, 9,548.10 and 3,775.14

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Solution

The fourth proportional to 6,918.84, 9,548.10 and 3,775.14 is: 5,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,918.84 : 9,548.10 = 3,775.14 : x
  2. Step 2: Convert to fraction form
    6,918.84/9,548.10 = 3,775.14/x
  3. Step 3: Cross multiply
    6,918.84x = 9,548.10 × 3,775.14
  4. Step 4: Simplify right side
    6,918.84x = 36,045,414.23
  5. Step 5: Solve for x
    x = 36,045,414.23/6,918.84
  6. Step 6: Final answer
    x = 5,209.75

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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.