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Finding the Fourth Proportional to 7,249.78, 10,004.74 and 4,106.58

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Solution

The fourth proportional to 7,249.78, 10,004.74 and 4,106.58 is: 5,667.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.78 : 10,004.74 = 4,106.58 : x
  2. Step 2: Convert to fraction form
    7,249.78/10,004.74 = 4,106.58/x
  3. Step 3: Cross multiply
    7,249.78x = 10,004.74 × 4,106.58
  4. Step 4: Simplify right side
    7,249.78x = 41,085,265.19
  5. Step 5: Solve for x
    x = 41,085,265.19/7,249.78
  6. Step 6: Final answer
    x = 5,667.11

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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.