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Finding the Fourth Proportional to 6,367.01, 9,547.01 and 2,206.64

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Solution

The fourth proportional to 6,367.01, 9,547.01 and 2,206.64 is: 3,308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.01 : 9,547.01 = 2,206.64 : x
  2. Step 2: Convert to fraction form
    6,367.01/9,547.01 = 2,206.64/x
  3. Step 3: Cross multiply
    6,367.01x = 9,547.01 × 2,206.64
  4. Step 4: Simplify right side
    6,367.01x = 21,066,814.15
  5. Step 5: Solve for x
    x = 21,066,814.15/6,367.01
  6. Step 6: Final answer
    x = 3,308.75

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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.