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Finding the Fourth Proportional to 5,498.11, 7,564.83 and 4,749.67

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Solution

The fourth proportional to 5,498.11, 7,564.83 and 4,749.67 is: 6,535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.11 : 7,564.83 = 4,749.67 : x
  2. Step 2: Convert to fraction form
    5,498.11/7,564.83 = 4,749.67/x
  3. Step 3: Cross multiply
    5,498.11x = 7,564.83 × 4,749.67
  4. Step 4: Simplify right side
    5,498.11x = 35,930,446.11
  5. Step 5: Solve for x
    x = 35,930,446.11/5,498.11
  6. Step 6: Final answer
    x = 6,535.05

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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.