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Finding the Fourth Proportional to 6,502.59, 9,752.67 and 2,120.22

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Solution

The fourth proportional to 6,502.59, 9,752.67 and 2,120.22 is: 3,179.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.59 : 9,752.67 = 2,120.22 : x
  2. Step 2: Convert to fraction form
    6,502.59/9,752.67 = 2,120.22/x
  3. Step 3: Cross multiply
    6,502.59x = 9,752.67 × 2,120.22
  4. Step 4: Simplify right side
    6,502.59x = 20,677,805.99
  5. Step 5: Solve for x
    x = 20,677,805.99/6,502.59
  6. Step 6: Final answer
    x = 3,179.93

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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.