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Finding the Fourth Proportional to 7,023.62, 9,684.51 and 4,786.85

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Solution

The fourth proportional to 7,023.62, 9,684.51 and 4,786.85 is: 6,600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.62 : 9,684.51 = 4,786.85 : x
  2. Step 2: Convert to fraction form
    7,023.62/9,684.51 = 4,786.85/x
  3. Step 3: Cross multiply
    7,023.62x = 9,684.51 × 4,786.85
  4. Step 4: Simplify right side
    7,023.62x = 46,358,296.69
  5. Step 5: Solve for x
    x = 46,358,296.69/7,023.62
  6. Step 6: Final answer
    x = 6,600.34

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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.