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Finding the Fourth Proportional to 6,464.48, 9,683.01 and 3,689.69

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Solution

The fourth proportional to 6,464.48, 9,683.01 and 3,689.69 is: 5,526.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.48 : 9,683.01 = 3,689.69 : x
  2. Step 2: Convert to fraction form
    6,464.48/9,683.01 = 3,689.69/x
  3. Step 3: Cross multiply
    6,464.48x = 9,683.01 × 3,689.69
  4. Step 4: Simplify right side
    6,464.48x = 35,727,256.75
  5. Step 5: Solve for x
    x = 35,727,256.75/6,464.48
  6. Step 6: Final answer
    x = 5,526.71

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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.