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Finding the Fourth Proportional to 5,569.32, 7,682.94 and 4,684.80

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Solution

The fourth proportional to 5,569.32, 7,682.94 and 4,684.80 is: 6,462.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.32 : 7,682.94 = 4,684.80 : x
  2. Step 2: Convert to fraction form
    5,569.32/7,682.94 = 4,684.80/x
  3. Step 3: Cross multiply
    5,569.32x = 7,682.94 × 4,684.80
  4. Step 4: Simplify right side
    5,569.32x = 35,993,037.31
  5. Step 5: Solve for x
    x = 35,993,037.31/5,569.32
  6. Step 6: Final answer
    x = 6,462.73

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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.