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Finding the Fourth Proportional to 7,249.56, 10,004.76 and 4,106.76

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Solution

The fourth proportional to 7,249.56, 10,004.76 and 4,106.76 is: 5,667.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.56 : 10,004.76 = 4,106.76 : x
  2. Step 2: Convert to fraction form
    7,249.56/10,004.76 = 4,106.76/x
  3. Step 3: Cross multiply
    7,249.56x = 10,004.76 × 4,106.76
  4. Step 4: Simplify right side
    7,249.56x = 41,087,148.18
  5. Step 5: Solve for x
    x = 41,087,148.18/7,249.56
  6. Step 6: Final answer
    x = 5,667.54

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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.