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Finding the Fourth Proportional to 11,410.25, 15,746.49 and 6,374.69

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Solution

The fourth proportional to 11,410.25, 15,746.49 and 6,374.69 is: 8,797.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.25 : 15,746.49 = 6,374.69 : x
  2. Step 2: Convert to fraction form
    11,410.25/15,746.49 = 6,374.69/x
  3. Step 3: Cross multiply
    11,410.25x = 15,746.49 × 6,374.69
  4. Step 4: Simplify right side
    11,410.25x = 100,378,992.34
  5. Step 5: Solve for x
    x = 100,378,992.34/11,410.25
  6. Step 6: Final answer
    x = 8,797.26

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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.