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Finding the Fourth Proportional to 5,564.66, 7,675.82 and 4,367.84

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Solution

The fourth proportional to 5,564.66, 7,675.82 and 4,367.84 is: 6,024.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.66 : 7,675.82 = 4,367.84 : x
  2. Step 2: Convert to fraction form
    5,564.66/7,675.82 = 4,367.84/x
  3. Step 3: Cross multiply
    5,564.66x = 7,675.82 × 4,367.84
  4. Step 4: Simplify right side
    5,564.66x = 33,526,752.97
  5. Step 5: Solve for x
    x = 33,526,752.97/5,564.66
  6. Step 6: Final answer
    x = 6,024.95

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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.