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Finding the Fourth Proportional to 5,664.99, 8,496.14 and 2,378.15

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Solution

The fourth proportional to 5,664.99, 8,496.14 and 2,378.15 is: 3,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.99 : 8,496.14 = 2,378.15 : x
  2. Step 2: Convert to fraction form
    5,664.99/8,496.14 = 2,378.15/x
  3. Step 3: Cross multiply
    5,664.99x = 8,496.14 × 2,378.15
  4. Step 4: Simplify right side
    5,664.99x = 20,205,040.97
  5. Step 5: Solve for x
    x = 20,205,040.97/5,664.99
  6. Step 6: Final answer
    x = 3,566.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.