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Finding the Fourth Proportional to 6,739.80, 10,109.70 and 5,800.20

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Solution

The fourth proportional to 6,739.80, 10,109.70 and 5,800.20 is: 8,700.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739.80 : 10,109.70 = 5,800.20 : x
  2. Step 2: Convert to fraction form
    6,739.80/10,109.70 = 5,800.20/x
  3. Step 3: Cross multiply
    6,739.80x = 10,109.70 × 5,800.20
  4. Step 4: Simplify right side
    6,739.80x = 58,638,281.94
  5. Step 5: Solve for x
    x = 58,638,281.94/6,739.80
  6. Step 6: Final answer
    x = 8,700.30

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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.