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Finding the Fourth Proportional to 11,449.99, 15,801.78 and 6,414.64

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Solution

The fourth proportional to 11,449.99, 15,801.78 and 6,414.64 is: 8,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.99 : 15,801.78 = 6,414.64 : x
  2. Step 2: Convert to fraction form
    11,449.99/15,801.78 = 6,414.64/x
  3. Step 3: Cross multiply
    11,449.99x = 15,801.78 × 6,414.64
  4. Step 4: Simplify right side
    11,449.99x = 101,362,730.06
  5. Step 5: Solve for x
    x = 101,362,730.06/11,449.99
  6. Step 6: Final answer
    x = 8,852.65

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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.