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Finding the Fourth Proportional to 6,299.39, 8,699.00 and 4,065.14

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Solution

The fourth proportional to 6,299.39, 8,699.00 and 4,065.14 is: 5,613.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.39 : 8,699.00 = 4,065.14 : x
  2. Step 2: Convert to fraction form
    6,299.39/8,699.00 = 4,065.14/x
  3. Step 3: Cross multiply
    6,299.39x = 8,699.00 × 4,065.14
  4. Step 4: Simplify right side
    6,299.39x = 35,362,589.04
  5. Step 5: Solve for x
    x = 35,362,589.04/6,299.39
  6. Step 6: Final answer
    x = 5,613.66

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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.