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Finding the Fourth Proportional to 5,402.70, 8,104.23 and 1,506.78

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Solution

The fourth proportional to 5,402.70, 8,104.23 and 1,506.78 is: 2,260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.70 : 8,104.23 = 1,506.78 : x
  2. Step 2: Convert to fraction form
    5,402.70/8,104.23 = 1,506.78/x
  3. Step 3: Cross multiply
    5,402.70x = 8,104.23 × 1,506.78
  4. Step 4: Simplify right side
    5,402.70x = 12,211,291.68
  5. Step 5: Solve for x
    x = 12,211,291.68/5,402.70
  6. Step 6: Final answer
    x = 2,260.22

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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.