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Finding the Fourth Proportional to 6,329.99, 8,735.76 and 3,642.10

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Solution

The fourth proportional to 6,329.99, 8,735.76 and 3,642.10 is: 5,026.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.99 : 8,735.76 = 3,642.10 : x
  2. Step 2: Convert to fraction form
    6,329.99/8,735.76 = 3,642.10/x
  3. Step 3: Cross multiply
    6,329.99x = 8,735.76 × 3,642.10
  4. Step 4: Simplify right side
    6,329.99x = 31,816,489.66
  5. Step 5: Solve for x
    x = 31,816,489.66/6,329.99
  6. Step 6: Final answer
    x = 5,026.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.