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Finding the Fourth Proportional to 5,168.60, 7,752.90 and 1,706.20

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Solution

The fourth proportional to 5,168.60, 7,752.90 and 1,706.20 is: 2,559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.60 : 7,752.90 = 1,706.20 : x
  2. Step 2: Convert to fraction form
    5,168.60/7,752.90 = 1,706.20/x
  3. Step 3: Cross multiply
    5,168.60x = 7,752.90 × 1,706.20
  4. Step 4: Simplify right side
    5,168.60x = 13,227,997.98
  5. Step 5: Solve for x
    x = 13,227,997.98/5,168.60
  6. Step 6: Final answer
    x = 2,559.30

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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.