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Finding the Fourth Proportional to 5,593.40, 8,390.12 and 1,697.84

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Solution

The fourth proportional to 5,593.40, 8,390.12 and 1,697.84 is: 2,546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,593.40 : 8,390.12 = 1,697.84 : x
  2. Step 2: Convert to fraction form
    5,593.40/8,390.12 = 1,697.84/x
  3. Step 3: Cross multiply
    5,593.40x = 8,390.12 × 1,697.84
  4. Step 4: Simplify right side
    5,593.40x = 14,245,081.34
  5. Step 5: Solve for x
    x = 14,245,081.34/5,593.40
  6. Step 6: Final answer
    x = 2,546.77

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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.