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Finding the Fourth Proportional to 9,874.08, 13,625.92 and 5,682.08

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Solution

The fourth proportional to 9,874.08, 13,625.92 and 5,682.08 is: 7,841.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.08 : 13,625.92 = 5,682.08 : x
  2. Step 2: Convert to fraction form
    9,874.08/13,625.92 = 5,682.08/x
  3. Step 3: Cross multiply
    9,874.08x = 13,625.92 × 5,682.08
  4. Step 4: Simplify right side
    9,874.08x = 77,423,567.51
  5. Step 5: Solve for x
    x = 77,423,567.51/9,874.08
  6. Step 6: Final answer
    x = 7,841.09

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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.