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Finding the Fourth Proportional to 6,550.80, 9,830.25 and 2,655.24

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Solution

The fourth proportional to 6,550.80, 9,830.25 and 2,655.24 is: 3,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.80 : 9,830.25 = 2,655.24 : x
  2. Step 2: Convert to fraction form
    6,550.80/9,830.25 = 2,655.24/x
  3. Step 3: Cross multiply
    6,550.80x = 9,830.25 × 2,655.24
  4. Step 4: Simplify right side
    6,550.80x = 26,101,673.01
  5. Step 5: Solve for x
    x = 26,101,673.01/6,550.80
  6. Step 6: Final answer
    x = 3,984.50

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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.