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Finding the Fourth Proportional to 7,006.80, 9,669.84 and 4,023.60

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Solution

The fourth proportional to 7,006.80, 9,669.84 and 4,023.60 is: 5,552.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.80 : 9,669.84 = 4,023.60 : x
  2. Step 2: Convert to fraction form
    7,006.80/9,669.84 = 4,023.60/x
  3. Step 3: Cross multiply
    7,006.80x = 9,669.84 × 4,023.60
  4. Step 4: Simplify right side
    7,006.80x = 38,907,568.22
  5. Step 5: Solve for x
    x = 38,907,568.22/7,006.80
  6. Step 6: Final answer
    x = 5,552.83

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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.