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Finding the Fourth Proportional to 5,564.62, 8,347.37 and 1,866.84

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Solution

The fourth proportional to 5,564.62, 8,347.37 and 1,866.84 is: 2,800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.62 : 8,347.37 = 1,866.84 : x
  2. Step 2: Convert to fraction form
    5,564.62/8,347.37 = 1,866.84/x
  3. Step 3: Cross multiply
    5,564.62x = 8,347.37 × 1,866.84
  4. Step 4: Simplify right side
    5,564.62x = 15,583,194.88
  5. Step 5: Solve for x
    x = 15,583,194.88/5,564.62
  6. Step 6: Final answer
    x = 2,800.41

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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.