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Finding the Fourth Proportional to 6,406.36, 9,597.99 and 6,020.38

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Solution

The fourth proportional to 6,406.36, 9,597.99 and 6,020.38 is: 9,019.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.36 : 9,597.99 = 6,020.38 : x
  2. Step 2: Convert to fraction form
    6,406.36/9,597.99 = 6,020.38/x
  3. Step 3: Cross multiply
    6,406.36x = 9,597.99 × 6,020.38
  4. Step 4: Simplify right side
    6,406.36x = 57,783,527.62
  5. Step 5: Solve for x
    x = 57,783,527.62/6,406.36
  6. Step 6: Final answer
    x = 9,019.72

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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.