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Finding the Fourth Proportional to 7,594.84, 10,480.80 and 4,282.84

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Solution

The fourth proportional to 7,594.84, 10,480.80 and 4,282.84 is: 5,910.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.84 : 10,480.80 = 4,282.84 : x
  2. Step 2: Convert to fraction form
    7,594.84/10,480.80 = 4,282.84/x
  3. Step 3: Cross multiply
    7,594.84x = 10,480.80 × 4,282.84
  4. Step 4: Simplify right side
    7,594.84x = 44,887,589.47
  5. Step 5: Solve for x
    x = 44,887,589.47/7,594.84
  6. Step 6: Final answer
    x = 5,910.27

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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.