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Finding the Fourth Proportional to 4,605.99, 6,913.81 and 4,082.25

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Solution

The fourth proportional to 4,605.99, 6,913.81 and 4,082.25 is: 6,127.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.99 : 6,913.81 = 4,082.25 : x
  2. Step 2: Convert to fraction form
    4,605.99/6,913.81 = 4,082.25/x
  3. Step 3: Cross multiply
    4,605.99x = 6,913.81 × 4,082.25
  4. Step 4: Simplify right side
    4,605.99x = 28,223,900.87
  5. Step 5: Solve for x
    x = 28,223,900.87/4,605.99
  6. Step 6: Final answer
    x = 6,127.65

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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.