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Finding the Fourth Proportional to 6,403.68, 8,837.10 and 3,609

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Solution

The fourth proportional to 6,403.68, 8,837.10 and 3,609 is: 4,980.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.68 : 8,837.10 = 3,609 : x
  2. Step 2: Convert to fraction form
    6,403.68/8,837.10 = 3,609/x
  3. Step 3: Cross multiply
    6,403.68x = 8,837.10 × 3,609
  4. Step 4: Simplify right side
    6,403.68x = 31,893,093.90
  5. Step 5: Solve for x
    x = 31,893,093.90/6,403.68
  6. Step 6: Final answer
    x = 4,980.43

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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.