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Finding the Fourth Proportional to 6,265.08, 8,646.06 and 3,471

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Solution

The fourth proportional to 6,265.08, 8,646.06 and 3,471 is: 4,790.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.08 : 8,646.06 = 3,471 : x
  2. Step 2: Convert to fraction form
    6,265.08/8,646.06 = 3,471/x
  3. Step 3: Cross multiply
    6,265.08x = 8,646.06 × 3,471
  4. Step 4: Simplify right side
    6,265.08x = 30,010,474.26
  5. Step 5: Solve for x
    x = 30,010,474.26/6,265.08
  6. Step 6: Final answer
    x = 4,790.12

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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.