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Finding the Fourth Proportional to 11,199.84, 15,455.84 and 6,164.57

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Solution

The fourth proportional to 11,199.84, 15,455.84 and 6,164.57 is: 8,507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199.84 : 15,455.84 = 6,164.57 : x
  2. Step 2: Convert to fraction form
    11,199.84/15,455.84 = 6,164.57/x
  3. Step 3: Cross multiply
    11,199.84x = 15,455.84 × 6,164.57
  4. Step 4: Simplify right side
    11,199.84x = 95,278,499.49
  5. Step 5: Solve for x
    x = 95,278,499.49/11,199.84
  6. Step 6: Final answer
    x = 8,507.13

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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.