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Finding the Fourth Proportional to 11,097.44, 16,642.50 and 3,699.86

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Solution

The fourth proportional to 11,097.44, 16,642.50 and 3,699.86 is: 5,548.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.44 : 16,642.50 = 3,699.86 : x
  2. Step 2: Convert to fraction form
    11,097.44/16,642.50 = 3,699.86/x
  3. Step 3: Cross multiply
    11,097.44x = 16,642.50 × 3,699.86
  4. Step 4: Simplify right side
    11,097.44x = 61,574,920.05
  5. Step 5: Solve for x
    x = 61,574,920.05/11,097.44
  6. Step 6: Final answer
    x = 5,548.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.