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Finding the Fourth Proportional to 6,809.60, 10,214.40 and 5,157.20

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Solution

The fourth proportional to 6,809.60, 10,214.40 and 5,157.20 is: 7,735.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.60 : 10,214.40 = 5,157.20 : x
  2. Step 2: Convert to fraction form
    6,809.60/10,214.40 = 5,157.20/x
  3. Step 3: Cross multiply
    6,809.60x = 10,214.40 × 5,157.20
  4. Step 4: Simplify right side
    6,809.60x = 52,677,703.68
  5. Step 5: Solve for x
    x = 52,677,703.68/6,809.60
  6. Step 6: Final answer
    x = 7,735.80

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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.