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Finding the Fourth Proportional to 6,410.84, 8,847.02 and 3,758.29

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Solution

The fourth proportional to 6,410.84, 8,847.02 and 3,758.29 is: 5,186.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.84 : 8,847.02 = 3,758.29 : x
  2. Step 2: Convert to fraction form
    6,410.84/8,847.02 = 3,758.29/x
  3. Step 3: Cross multiply
    6,410.84x = 8,847.02 × 3,758.29
  4. Step 4: Simplify right side
    6,410.84x = 33,249,654.07
  5. Step 5: Solve for x
    x = 33,249,654.07/6,410.84
  6. Step 6: Final answer
    x = 5,186.48

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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.