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Finding the Fourth Proportional to 6,140.99, 9,205.14 and 3,502.82

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Solution

The fourth proportional to 6,140.99, 9,205.14 and 3,502.82 is: 5,250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.99 : 9,205.14 = 3,502.82 : x
  2. Step 2: Convert to fraction form
    6,140.99/9,205.14 = 3,502.82/x
  3. Step 3: Cross multiply
    6,140.99x = 9,205.14 × 3,502.82
  4. Step 4: Simplify right side
    6,140.99x = 32,243,948.49
  5. Step 5: Solve for x
    x = 32,243,948.49/6,140.99
  6. Step 6: Final answer
    x = 5,250.61

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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.